Rigidity of hypersurfaces with constant higher order mean curvature in space forms

Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Meléndez, Josué [verfasserIn] Palmas, Oscar

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Higher order mean curvature Rotation hypersurfaces Scalar curvature Ricci curvature

Anmerkung:	© Sociedad Matemática Mexicana 2022

Übergeordnetes Werk:	Enthalten in: Boletin de la Sociedad Matemática Mexicana - New York [u.a.] : Springer International, 2014, 28(2022), 2 vom: 27. Mai
Übergeordnetes Werk:	volume:28 ; year:2022 ; number:2 ; day:27 ; month:05

Links:	Volltext

DOI / URN:	10.1007/s40590-022-00439-2

Katalog-ID:	SPR047127945

Internformat


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100	1		\|a Meléndez, Josué \|e verfasserin \|0 (orcid)0000-0002-3257-985X \|4 aut
245	1	0	\|a Rigidity of hypersurfaces with constant higher order mean curvature in space forms
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520			\|a Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results.
650		4	\|a Higher order mean curvature \|7 (dpeaa)DE-He213
650		4	\|a Rotation hypersurfaces \|7 (dpeaa)DE-He213
650		4	\|a Scalar curvature \|7 (dpeaa)DE-He213
650		4	\|a Ricci curvature \|7 (dpeaa)DE-He213
700	1		\|a Palmas, Oscar \|4 aut
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856	4	0	\|u https://dx.doi.org/10.1007/s40590-022-00439-2 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_2003
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912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
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912			\|a GBV_ILN_2039
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912			\|a GBV_ILN_2055
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publishDate	2022
allfields	10.1007/s40590-022-00439-2 doi (DE-627)SPR047127945 (SPR)s40590-022-00439-2-e DE-627 ger DE-627 rakwb eng Meléndez, Josué verfasserin (orcid)0000-0002-3257-985X aut Rigidity of hypersurfaces with constant higher order mean curvature in space forms 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2022 Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213 Palmas, Oscar aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 28(2022), 2 vom: 27. Mai (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:28 year:2022 number:2 day:27 month:05 https://dx.doi.org/10.1007/s40590-022-00439-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_65 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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 28 2022 2 27 05
spelling	10.1007/s40590-022-00439-2 doi (DE-627)SPR047127945 (SPR)s40590-022-00439-2-e DE-627 ger DE-627 rakwb eng Meléndez, Josué verfasserin (orcid)0000-0002-3257-985X aut Rigidity of hypersurfaces with constant higher order mean curvature in space forms 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2022 Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213 Palmas, Oscar aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 28(2022), 2 vom: 27. Mai (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:28 year:2022 number:2 day:27 month:05 https://dx.doi.org/10.1007/s40590-022-00439-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_65 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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 28 2022 2 27 05
allfields_unstemmed	10.1007/s40590-022-00439-2 doi (DE-627)SPR047127945 (SPR)s40590-022-00439-2-e DE-627 ger DE-627 rakwb eng Meléndez, Josué verfasserin (orcid)0000-0002-3257-985X aut Rigidity of hypersurfaces with constant higher order mean curvature in space forms 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2022 Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213 Palmas, Oscar aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 28(2022), 2 vom: 27. Mai (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:28 year:2022 number:2 day:27 month:05 https://dx.doi.org/10.1007/s40590-022-00439-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_65 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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 28 2022 2 27 05
allfieldsGer	10.1007/s40590-022-00439-2 doi (DE-627)SPR047127945 (SPR)s40590-022-00439-2-e DE-627 ger DE-627 rakwb eng Meléndez, Josué verfasserin (orcid)0000-0002-3257-985X aut Rigidity of hypersurfaces with constant higher order mean curvature in space forms 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2022 Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213 Palmas, Oscar aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 28(2022), 2 vom: 27. Mai (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:28 year:2022 number:2 day:27 month:05 https://dx.doi.org/10.1007/s40590-022-00439-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_65 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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 28 2022 2 27 05
allfieldsSound	10.1007/s40590-022-00439-2 doi (DE-627)SPR047127945 (SPR)s40590-022-00439-2-e DE-627 ger DE-627 rakwb eng Meléndez, Josué verfasserin (orcid)0000-0002-3257-985X aut Rigidity of hypersurfaces with constant higher order mean curvature in space forms 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2022 Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213 Palmas, Oscar aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 28(2022), 2 vom: 27. Mai (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:28 year:2022 number:2 day:27 month:05 https://dx.doi.org/10.1007/s40590-022-00439-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_65 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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_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 28 2022 2 27 05
language	English
source	Enthalten in Boletin de la Sociedad Matemática Mexicana 28(2022), 2 vom: 27. Mai volume:28 year:2022 number:2 day:27 month:05
sourceStr	Enthalten in Boletin de la Sociedad Matemática Mexicana 28(2022), 2 vom: 27. Mai volume:28 year:2022 number:2 day:27 month:05
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Higher order mean curvature Rotation hypersurfaces Scalar curvature Ricci curvature
isfreeaccess_bool	false
container_title	Boletin de la Sociedad Matemática Mexicana
authorswithroles_txt_mv	Meléndez, Josué @@aut@@ Palmas, Oscar @@aut@@
publishDateDaySort_date	2022-05-27T00:00:00Z
hierarchy_top_id	779395166
id	SPR047127945
language_de	englisch
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author	Meléndez, Josué
spellingShingle	Meléndez, Josué misc Higher order mean curvature misc Rotation hypersurfaces misc Scalar curvature misc Ricci curvature Rigidity of hypersurfaces with constant higher order mean curvature in space forms
authorStr	Meléndez, Josué
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topic_title	Rigidity of hypersurfaces with constant higher order mean curvature in space forms Higher order mean curvature (dpeaa)DE-He213 Rotation hypersurfaces (dpeaa)DE-He213 Scalar curvature (dpeaa)DE-He213 Ricci curvature (dpeaa)DE-He213
topic	misc Higher order mean curvature misc Rotation hypersurfaces misc Scalar curvature misc Ricci curvature
topic_unstemmed	misc Higher order mean curvature misc Rotation hypersurfaces misc Scalar curvature misc Ricci curvature
topic_browse	misc Higher order mean curvature misc Rotation hypersurfaces misc Scalar curvature misc Ricci curvature
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title	Rigidity of hypersurfaces with constant higher order mean curvature in space forms
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title_full	Rigidity of hypersurfaces with constant higher order mean curvature in space forms
author_sort	Meléndez, Josué
journal	Boletin de la Sociedad Matemática Mexicana
journalStr	Boletin de la Sociedad Matemática Mexicana
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author_browse	Meléndez, Josué Palmas, Oscar
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author-letter	Meléndez, Josué
doi_str_mv	10.1007/s40590-022-00439-2
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title_sort	rigidity of hypersurfaces with constant higher order mean curvature in space forms
title_auth	Rigidity of hypersurfaces with constant higher order mean curvature in space forms
abstract	Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. © Sociedad Matemática Mexicana 2022
abstractGer	Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. © Sociedad Matemática Mexicana 2022
abstract_unstemmed	Abstract We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results. © Sociedad Matemática Mexicana 2022
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title_short	Rigidity of hypersurfaces with constant higher order mean curvature in space forms
url	https://dx.doi.org/10.1007/s40590-022-00439-2
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author2	Palmas, Oscar
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doi_str	10.1007/s40590-022-00439-2
up_date	2024-07-04T01:58:43.222Z
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Rigidity of hypersurfaces with constant higher order mean curvature in space forms

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