Spectra of orbifolds with cyclic fundamental groups
We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding funda...
Ausführliche Beschreibung
Autor*in: |
Lauret, Emilio A. [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2016 |
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Ausgabe: |
Published: 20 February 2016 |
Schlagwörter: |
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Anmerkung: |
Last seen: 14.12.2022 |
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Übergeordnetes Werk: |
Enthalten in: Annals of global analysis and geometry - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983, Volume 50(2016), Issue 1, pp. 1-28 |
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Übergeordnetes Werk: |
volume:50 ; year:2016 ; number:1 ; pages:1-28 |
Links: |
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DOI / URN: |
10.1007/s10455-016-9498-0 |
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Katalog-ID: |
1827038411 |
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100 | 1 | |a Lauret, Emilio A. |e verfasserin |0 (DE-588)1068940425 |0 (DE-627)821080385 |0 (DE-576)428317022 |4 aut | |
245 | 1 | 0 | |a Spectra of orbifolds with cyclic fundamental groups |
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520 | |a We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. | ||
650 | 4 | |a Cyclic fundamental group | |
650 | 4 | |a Isospectral | |
650 | 4 | |a Lens space | |
650 | 4 | |a One-norm | |
650 | 4 | |a Spectrum | |
650 | 4 | |a Manifolds | |
650 | 4 | |a Operator | |
650 | 4 | |a Representations | |
650 | 4 | |a Spherical space-forms | |
650 | 4 | |a Zeta-functions | |
773 | 0 | 8 | |i Enthalten in |t Annals of global analysis and geometry |d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 |g Volume 50(2016), Issue 1, pp. 1-28 |h Online-Ressource |w (DE-627)271176172 |w (DE-600)1479023-3 |w (DE-576)10535709X |x 1572-9060 |7 nnns |
773 | 1 | 8 | |g volume:50 |g year:2016 |g number:1 |g pages:1-28 |
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980 | |2 2088 |1 01 |x DE-Frei3c |b 4231037566 |c 00 |f --%%-- |d --%%-- |e --%%-- |j n |k Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. |y l01 |z 14-12-22 | ||
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10.1007/s10455-016-9498-0 doi (DE-627)1827038411 (DE-599)KXP1827038411 DE-627 ger DE-627 rda eng 58J50 msc 58J53 msc 17B10 msc Lauret, Emilio A. verfasserin (DE-588)1068940425 (DE-627)821080385 (DE-576)428317022 aut Spectra of orbifolds with cyclic fundamental groups Published: 20 February 2016 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 14.12.2022 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions Enthalten in Annals of global analysis and geometry Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 Volume 50(2016), Issue 1, pp. 1-28 Online-Ressource (DE-627)271176172 (DE-600)1479023-3 (DE-576)10535709X 1572-9060 nnns volume:50 year:2016 number:1 pages:1-28 https://doi.org/10.1007/s10455-016-9498-0 Resolving-System Full Text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 50 2016 1 1-28 Volume 50(2016), Issue 1, pp. 1-28 2088 01 DE-Frei3c 4231037566 00 --%%-- --%%-- --%%-- n Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. l01 14-12-22 2088 01 DE-Frei3c 00 (DE-627)1295427958 AMS:58 Global analysis, analysis on manifolds 2088 01 DE-Frei3c 00 (DE-627)1295442299 AMS:17 Nonassociative rings and algebras |
spelling |
10.1007/s10455-016-9498-0 doi (DE-627)1827038411 (DE-599)KXP1827038411 DE-627 ger DE-627 rda eng 58J50 msc 58J53 msc 17B10 msc Lauret, Emilio A. verfasserin (DE-588)1068940425 (DE-627)821080385 (DE-576)428317022 aut Spectra of orbifolds with cyclic fundamental groups Published: 20 February 2016 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 14.12.2022 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions Enthalten in Annals of global analysis and geometry Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 Volume 50(2016), Issue 1, pp. 1-28 Online-Ressource (DE-627)271176172 (DE-600)1479023-3 (DE-576)10535709X 1572-9060 nnns volume:50 year:2016 number:1 pages:1-28 https://doi.org/10.1007/s10455-016-9498-0 Resolving-System Full Text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 50 2016 1 1-28 Volume 50(2016), Issue 1, pp. 1-28 2088 01 DE-Frei3c 4231037566 00 --%%-- --%%-- --%%-- n Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. l01 14-12-22 2088 01 DE-Frei3c 00 (DE-627)1295427958 AMS:58 Global analysis, analysis on manifolds 2088 01 DE-Frei3c 00 (DE-627)1295442299 AMS:17 Nonassociative rings and algebras |
allfields_unstemmed |
10.1007/s10455-016-9498-0 doi (DE-627)1827038411 (DE-599)KXP1827038411 DE-627 ger DE-627 rda eng 58J50 msc 58J53 msc 17B10 msc Lauret, Emilio A. verfasserin (DE-588)1068940425 (DE-627)821080385 (DE-576)428317022 aut Spectra of orbifolds with cyclic fundamental groups Published: 20 February 2016 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 14.12.2022 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions Enthalten in Annals of global analysis and geometry Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 Volume 50(2016), Issue 1, pp. 1-28 Online-Ressource (DE-627)271176172 (DE-600)1479023-3 (DE-576)10535709X 1572-9060 nnns volume:50 year:2016 number:1 pages:1-28 https://doi.org/10.1007/s10455-016-9498-0 Resolving-System Full Text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 50 2016 1 1-28 Volume 50(2016), Issue 1, pp. 1-28 2088 01 DE-Frei3c 4231037566 00 --%%-- --%%-- --%%-- n Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. l01 14-12-22 2088 01 DE-Frei3c 00 (DE-627)1295427958 AMS:58 Global analysis, analysis on manifolds 2088 01 DE-Frei3c 00 (DE-627)1295442299 AMS:17 Nonassociative rings and algebras |
allfieldsGer |
10.1007/s10455-016-9498-0 doi (DE-627)1827038411 (DE-599)KXP1827038411 DE-627 ger DE-627 rda eng 58J50 msc 58J53 msc 17B10 msc Lauret, Emilio A. verfasserin (DE-588)1068940425 (DE-627)821080385 (DE-576)428317022 aut Spectra of orbifolds with cyclic fundamental groups Published: 20 February 2016 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 14.12.2022 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions Enthalten in Annals of global analysis and geometry Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 Volume 50(2016), Issue 1, pp. 1-28 Online-Ressource (DE-627)271176172 (DE-600)1479023-3 (DE-576)10535709X 1572-9060 nnns volume:50 year:2016 number:1 pages:1-28 https://doi.org/10.1007/s10455-016-9498-0 Resolving-System Full Text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 50 2016 1 1-28 Volume 50(2016), Issue 1, pp. 1-28 2088 01 DE-Frei3c 4231037566 00 --%%-- --%%-- --%%-- n Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. l01 14-12-22 2088 01 DE-Frei3c 00 (DE-627)1295427958 AMS:58 Global analysis, analysis on manifolds 2088 01 DE-Frei3c 00 (DE-627)1295442299 AMS:17 Nonassociative rings and algebras |
allfieldsSound |
10.1007/s10455-016-9498-0 doi (DE-627)1827038411 (DE-599)KXP1827038411 DE-627 ger DE-627 rda eng 58J50 msc 58J53 msc 17B10 msc Lauret, Emilio A. verfasserin (DE-588)1068940425 (DE-627)821080385 (DE-576)428317022 aut Spectra of orbifolds with cyclic fundamental groups Published: 20 February 2016 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Last seen: 14.12.2022 We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions Enthalten in Annals of global analysis and geometry Dordrecht [u.a.] : Springer Science + Business Media B.V, 1983 Volume 50(2016), Issue 1, pp. 1-28 Online-Ressource (DE-627)271176172 (DE-600)1479023-3 (DE-576)10535709X 1572-9060 nnns volume:50 year:2016 number:1 pages:1-28 https://doi.org/10.1007/s10455-016-9498-0 Resolving-System Full Text at Publisher lizenzpflichtig GBV_USEFLAG_U GBV_ILN_2088 ISIL_DE-Frei3c SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 50 2016 1 1-28 Volume 50(2016), Issue 1, pp. 1-28 2088 01 DE-Frei3c 4231037566 00 --%%-- --%%-- --%%-- n Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. l01 14-12-22 2088 01 DE-Frei3c 00 (DE-627)1295427958 AMS:58 Global analysis, analysis on manifolds 2088 01 DE-Frei3c 00 (DE-627)1295442299 AMS:17 Nonassociative rings and algebras |
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58J50 msc 58J53 msc 17B10 msc Spectra of orbifolds with cyclic fundamental groups Cyclic fundamental group Isospectral Lens space One-norm Spectrum Manifolds Operator Representations Spherical space-forms Zeta-functions |
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Spectra of orbifolds with cyclic fundamental groups |
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2088@Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started. |
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Spectra of orbifolds with cyclic fundamental groups |
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spectra of orbifolds with cyclic fundamental groups |
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Spectra of orbifolds with cyclic fundamental groups |
abstract |
We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Last seen: 14.12.2022 |
abstractGer |
We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Last seen: 14.12.2022 |
abstract_unstemmed |
We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered are Laplace-Beltrami operators twisted by characters of the corresponding fundamental group. To prove the characterization, we first give an explicit description of their spectra using generating functions. We also include many isospectral examples. Last seen: 14.12.2022 |
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Spectra of orbifolds with cyclic fundamental groups |
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code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4393</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">50</subfield><subfield code="j">2016</subfield><subfield code="e">1</subfield><subfield code="h">1-28</subfield><subfield code="y">Volume 50(2016), Issue 1, pp. 1-28</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2088</subfield><subfield code="1">01</subfield><subfield code="x">DE-Frei3c</subfield><subfield code="b">4231037566</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Funding text: The author wishes to thank Leandro Cagliero and Jorge Vargas for helpful conversations on representation theory and also Sebastian Boldt and Ramiro Lafuente for helpful comments concerning the algorithms used in the last section. The author also wishes to thank the support of the Oberwolfach Leibniz Fellow programme in May-July 2013 and in August-November 2014, when this project started.</subfield><subfield code="y">l01</subfield><subfield code="z">14-12-22</subfield></datafield><datafield tag="983" ind1=" " ind2=" "><subfield code="2">2088</subfield><subfield code="1">01</subfield><subfield code="x">DE-Frei3c</subfield><subfield code="8">00</subfield><subfield code="0">(DE-627)1295427958</subfield><subfield code="a">AMS:58</subfield><subfield code="b">Global analysis, analysis on manifolds</subfield></datafield><datafield tag="983" ind1=" " ind2=" "><subfield code="2">2088</subfield><subfield code="1">01</subfield><subfield code="x">DE-Frei3c</subfield><subfield code="8">00</subfield><subfield code="0">(DE-627)1295442299</subfield><subfield code="a">AMS:17</subfield><subfield code="b">Nonassociative rings and algebras</subfield></datafield></record></collection>
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