Isoparametric hypersurfaces in conic Finsler manifolds

In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	He, Qun [verfasserIn] Huang, Xin [verfasserIn] Dong, Peilong [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature

Übergeordnetes Werk:	Enthalten in: Differential geometry and its applications - Amsterdam [u.a.] : Elsevier Science Publ., 1991, 84
Übergeordnetes Werk:	volume:84

DOI / URN:	10.1016/j.difgeo.2022.101937

Katalog-ID:	ELV008323534

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520			\|a In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature.
650		4	\|a Isoparametric hypersurface
650		4	\|a Conic Finsler manifolds
650		4	\|a Kropina space
650		4	\|a Principal curvature
700	1		\|a Huang, Xin \|e verfasserin \|4 aut
700	1		\|a Dong, Peilong \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Differential geometry and its applications \|d Amsterdam [u.a.] : Elsevier Science Publ., 1991 \|g 84 \|h Online-Ressource \|w (DE-627)26578445X \|w (DE-600)1466376-4 \|w (DE-576)074891103 \|7 nnns
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912			\|a GBV_ILN_32
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912			\|a GBV_ILN_63
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912			\|a GBV_ILN_69
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912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
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912			\|a GBV_ILN_702
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
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_2027
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
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912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
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912			\|a GBV_ILN_4334
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936	b	k	\|a 31.52 \|j Differentialgeometrie
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allfields	10.1016/j.difgeo.2022.101937 doi (DE-627)ELV008323534 (ELSEVIER)S0926-2245(22)00090-0 DE-627 ger DE-627 rda eng 510 DE-600 31.52 bkl He, Qun verfasserin aut Isoparametric hypersurfaces in conic Finsler manifolds 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature. Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature Huang, Xin verfasserin aut Dong, Peilong verfasserin aut Enthalten in Differential geometry and its applications Amsterdam [u.a.] : Elsevier Science Publ., 1991 84 Online-Ressource (DE-627)26578445X (DE-600)1466376-4 (DE-576)074891103 nnns volume:84 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OLC-PHA SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.52 Differentialgeometrie AR 84
spelling	10.1016/j.difgeo.2022.101937 doi (DE-627)ELV008323534 (ELSEVIER)S0926-2245(22)00090-0 DE-627 ger DE-627 rda eng 510 DE-600 31.52 bkl He, Qun verfasserin aut Isoparametric hypersurfaces in conic Finsler manifolds 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature. Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature Huang, Xin verfasserin aut Dong, Peilong verfasserin aut Enthalten in Differential geometry and its applications Amsterdam [u.a.] : Elsevier Science Publ., 1991 84 Online-Ressource (DE-627)26578445X (DE-600)1466376-4 (DE-576)074891103 nnns volume:84 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OLC-PHA SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.52 Differentialgeometrie AR 84
allfields_unstemmed	10.1016/j.difgeo.2022.101937 doi (DE-627)ELV008323534 (ELSEVIER)S0926-2245(22)00090-0 DE-627 ger DE-627 rda eng 510 DE-600 31.52 bkl He, Qun verfasserin aut Isoparametric hypersurfaces in conic Finsler manifolds 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature. Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature Huang, Xin verfasserin aut Dong, Peilong verfasserin aut Enthalten in Differential geometry and its applications Amsterdam [u.a.] : Elsevier Science Publ., 1991 84 Online-Ressource (DE-627)26578445X (DE-600)1466376-4 (DE-576)074891103 nnns volume:84 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OLC-PHA SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.52 Differentialgeometrie AR 84
allfieldsGer	10.1016/j.difgeo.2022.101937 doi (DE-627)ELV008323534 (ELSEVIER)S0926-2245(22)00090-0 DE-627 ger DE-627 rda eng 510 DE-600 31.52 bkl He, Qun verfasserin aut Isoparametric hypersurfaces in conic Finsler manifolds 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature. Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature Huang, Xin verfasserin aut Dong, Peilong verfasserin aut Enthalten in Differential geometry and its applications Amsterdam [u.a.] : Elsevier Science Publ., 1991 84 Online-Ressource (DE-627)26578445X (DE-600)1466376-4 (DE-576)074891103 nnns volume:84 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OLC-PHA SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.52 Differentialgeometrie AR 84
allfieldsSound	10.1016/j.difgeo.2022.101937 doi (DE-627)ELV008323534 (ELSEVIER)S0926-2245(22)00090-0 DE-627 ger DE-627 rda eng 510 DE-600 31.52 bkl He, Qun verfasserin aut Isoparametric hypersurfaces in conic Finsler manifolds 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature. Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature Huang, Xin verfasserin aut Dong, Peilong verfasserin aut Enthalten in Differential geometry and its applications Amsterdam [u.a.] : Elsevier Science Publ., 1991 84 Online-Ressource (DE-627)26578445X (DE-600)1466376-4 (DE-576)074891103 nnns volume:84 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OLC-PHA SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.52 Differentialgeometrie AR 84
language	English
source	Enthalten in Differential geometry and its applications 84 volume:84
sourceStr	Enthalten in Differential geometry and its applications 84 volume:84
format_phy_str_mv	Article
bklname	Differentialgeometrie
institution	findex.gbv.de
topic_facet	Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature
dewey-raw	510
isfreeaccess_bool	false
container_title	Differential geometry and its applications
authorswithroles_txt_mv	He, Qun @@aut@@ Huang, Xin @@aut@@ Dong, Peilong @@aut@@
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author	He, Qun
spellingShingle	He, Qun ddc 510 bkl 31.52 misc Isoparametric hypersurface misc Conic Finsler manifolds misc Kropina space misc Principal curvature Isoparametric hypersurfaces in conic Finsler manifolds
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topic_title	510 DE-600 31.52 bkl Isoparametric hypersurfaces in conic Finsler manifolds Isoparametric hypersurface Conic Finsler manifolds Kropina space Principal curvature
topic	ddc 510 bkl 31.52 misc Isoparametric hypersurface misc Conic Finsler manifolds misc Kropina space misc Principal curvature
topic_unstemmed	ddc 510 bkl 31.52 misc Isoparametric hypersurface misc Conic Finsler manifolds misc Kropina space misc Principal curvature
topic_browse	ddc 510 bkl 31.52 misc Isoparametric hypersurface misc Conic Finsler manifolds misc Kropina space misc Principal curvature
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title	Isoparametric hypersurfaces in conic Finsler manifolds
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title_full	Isoparametric hypersurfaces in conic Finsler manifolds
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title_sort	isoparametric hypersurfaces in conic finsler manifolds
title_auth	Isoparametric hypersurfaces in conic Finsler manifolds
abstract	In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature.
abstractGer	In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature.
abstract_unstemmed	In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina spaces with constant flag curvature.
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title_short	Isoparametric hypersurfaces in conic Finsler manifolds
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doi_str	10.1016/j.difgeo.2022.101937
up_date	2024-07-06T19:18:34.091Z
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We find that there are probably other isoparametric hypersurfaces in conic Minkowski spaces besides the conic Minkowski hyperplanes, conic Minkowski hyperspheres and conic Minkowski cylinders, such as helicoids. 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Isoparametric hypersurfaces in conic Finsler manifolds

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