Spherical geometry and integrable systems

Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.

Gespeichert in:

Autor*in:	Petrera, Matteo [verfasserIn] Suris, Yuri B. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Spherical triangle Spherical simplex Cosine law Sine law Integrable systems Multidimensional consistency Discrete Darboux system Euler top Hirota–Kimura discretization

Übergeordnetes Werk:	Enthalten in: Geometriae dedicata - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972, 169(2013), 1 vom: 10. März, Seite 83-98
Übergeordnetes Werk:	volume:169 ; year:2013 ; number:1 ; day:10 ; month:03 ; pages:83-98

Links:	Volltext

DOI / URN:	10.1007/s10711-013-9843-4

Katalog-ID:	SPR01265650X

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520			\|a Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.
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650		4	\|a Integrable systems \|7 (dpeaa)DE-He213
650		4	\|a Multidimensional consistency \|7 (dpeaa)DE-He213
650		4	\|a Discrete Darboux system \|7 (dpeaa)DE-He213
650		4	\|a Euler top \|7 (dpeaa)DE-He213
650		4	\|a Hirota–Kimura discretization \|7 (dpeaa)DE-He213
700	1		\|a Suris, Yuri B. \|e verfasserin \|4 aut
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912			\|a GBV_ILN_2122
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912			\|a GBV_ILN_2143
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936	b	k	\|a 31.50 \|q ASE
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author_variant	m p mp y b s yb ybs
matchkey_str	article:15729168:2013----::peiagoeradner
hierarchy_sort_str	2013
bklnumber	31.50
publishDate	2013
allfields	10.1007/s10711-013-9843-4 doi (DE-627)SPR01265650X (SPR)s10711-013-9843-4-e DE-627 ger DE-627 rakwb eng 510 ASE 31.50 bkl Petrera, Matteo verfasserin aut Spherical geometry and integrable systems 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems. Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213 Suris, Yuri B. verfasserin aut Enthalten in Geometriae dedicata Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 169(2013), 1 vom: 10. März, Seite 83-98 (DE-627)270127585 (DE-600)1476497-0 1572-9168 nnns volume:169 year:2013 number:1 day:10 month:03 pages:83-98 https://dx.doi.org/10.1007/s10711-013-9843-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2088 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 31.50 ASE AR 169 2013 1 10 03 83-98
spelling	10.1007/s10711-013-9843-4 doi (DE-627)SPR01265650X (SPR)s10711-013-9843-4-e DE-627 ger DE-627 rakwb eng 510 ASE 31.50 bkl Petrera, Matteo verfasserin aut Spherical geometry and integrable systems 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems. Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213 Suris, Yuri B. verfasserin aut Enthalten in Geometriae dedicata Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 169(2013), 1 vom: 10. März, Seite 83-98 (DE-627)270127585 (DE-600)1476497-0 1572-9168 nnns volume:169 year:2013 number:1 day:10 month:03 pages:83-98 https://dx.doi.org/10.1007/s10711-013-9843-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2088 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 31.50 ASE AR 169 2013 1 10 03 83-98
allfields_unstemmed	10.1007/s10711-013-9843-4 doi (DE-627)SPR01265650X (SPR)s10711-013-9843-4-e DE-627 ger DE-627 rakwb eng 510 ASE 31.50 bkl Petrera, Matteo verfasserin aut Spherical geometry and integrable systems 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems. Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213 Suris, Yuri B. verfasserin aut Enthalten in Geometriae dedicata Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 169(2013), 1 vom: 10. März, Seite 83-98 (DE-627)270127585 (DE-600)1476497-0 1572-9168 nnns volume:169 year:2013 number:1 day:10 month:03 pages:83-98 https://dx.doi.org/10.1007/s10711-013-9843-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2088 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 31.50 ASE AR 169 2013 1 10 03 83-98
allfieldsGer	10.1007/s10711-013-9843-4 doi (DE-627)SPR01265650X (SPR)s10711-013-9843-4-e DE-627 ger DE-627 rakwb eng 510 ASE 31.50 bkl Petrera, Matteo verfasserin aut Spherical geometry and integrable systems 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems. Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213 Suris, Yuri B. verfasserin aut Enthalten in Geometriae dedicata Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 169(2013), 1 vom: 10. März, Seite 83-98 (DE-627)270127585 (DE-600)1476497-0 1572-9168 nnns volume:169 year:2013 number:1 day:10 month:03 pages:83-98 https://dx.doi.org/10.1007/s10711-013-9843-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2088 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 31.50 ASE AR 169 2013 1 10 03 83-98
allfieldsSound	10.1007/s10711-013-9843-4 doi (DE-627)SPR01265650X (SPR)s10711-013-9843-4-e DE-627 ger DE-627 rakwb eng 510 ASE 31.50 bkl Petrera, Matteo verfasserin aut Spherical geometry and integrable systems 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems. Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213 Suris, Yuri B. verfasserin aut Enthalten in Geometriae dedicata Dordrecht [u.a.] : Springer Science + Business Media B.V, 1972 169(2013), 1 vom: 10. März, Seite 83-98 (DE-627)270127585 (DE-600)1476497-0 1572-9168 nnns volume:169 year:2013 number:1 day:10 month:03 pages:83-98 https://dx.doi.org/10.1007/s10711-013-9843-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2088 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 31.50 ASE AR 169 2013 1 10 03 83-98
language	English
source	Enthalten in Geometriae dedicata 169(2013), 1 vom: 10. März, Seite 83-98 volume:169 year:2013 number:1 day:10 month:03 pages:83-98
sourceStr	Enthalten in Geometriae dedicata 169(2013), 1 vom: 10. März, Seite 83-98 volume:169 year:2013 number:1 day:10 month:03 pages:83-98
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Spherical triangle Spherical simplex Cosine law Sine law Integrable systems Multidimensional consistency Discrete Darboux system Euler top Hirota–Kimura discretization
dewey-raw	510
isfreeaccess_bool	false
container_title	Geometriae dedicata
authorswithroles_txt_mv	Petrera, Matteo @@aut@@ Suris, Yuri B. @@aut@@
publishDateDaySort_date	2013-03-10T00:00:00Z
hierarchy_top_id	270127585
dewey-sort	3510
id	SPR01265650X
language_de	englisch
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author	Petrera, Matteo
spellingShingle	Petrera, Matteo ddc 510 bkl 31.50 misc Spherical triangle misc Spherical simplex misc Cosine law misc Sine law misc Integrable systems misc Multidimensional consistency misc Discrete Darboux system misc Euler top misc Hirota–Kimura discretization Spherical geometry and integrable systems
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topic_title	510 ASE 31.50 bkl Spherical geometry and integrable systems Spherical triangle (dpeaa)DE-He213 Spherical simplex (dpeaa)DE-He213 Cosine law (dpeaa)DE-He213 Sine law (dpeaa)DE-He213 Integrable systems (dpeaa)DE-He213 Multidimensional consistency (dpeaa)DE-He213 Discrete Darboux system (dpeaa)DE-He213 Euler top (dpeaa)DE-He213 Hirota–Kimura discretization (dpeaa)DE-He213
topic	ddc 510 bkl 31.50 misc Spherical triangle misc Spherical simplex misc Cosine law misc Sine law misc Integrable systems misc Multidimensional consistency misc Discrete Darboux system misc Euler top misc Hirota–Kimura discretization
topic_unstemmed	ddc 510 bkl 31.50 misc Spherical triangle misc Spherical simplex misc Cosine law misc Sine law misc Integrable systems misc Multidimensional consistency misc Discrete Darboux system misc Euler top misc Hirota–Kimura discretization
topic_browse	ddc 510 bkl 31.50 misc Spherical triangle misc Spherical simplex misc Cosine law misc Sine law misc Integrable systems misc Multidimensional consistency misc Discrete Darboux system misc Euler top misc Hirota–Kimura discretization
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title	Spherical geometry and integrable systems
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title_full	Spherical geometry and integrable systems
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author_browse	Petrera, Matteo Suris, Yuri B.
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title_sort	spherical geometry and integrable systems
title_auth	Spherical geometry and integrable systems
abstract	Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.
abstractGer	Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.
abstract_unstemmed	Abstract We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.
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title_short	Spherical geometry and integrable systems
url	https://dx.doi.org/10.1007/s10711-013-9843-4
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author2	Suris, Yuri B.
author2Str	Suris, Yuri B.
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doi_str	10.1007/s10711-013-9843-4
up_date	2024-07-03T14:25:20.999Z
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score	7.401534

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Spherical geometry and integrable systems

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Zugang & Verfügbarkeit

Vorhandene Bände

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