Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

Chang Xiong Nie; Tong Zhu Li; Yi Jun He; Chuan Xi Wu

doi:10.1007/s11425-009-0206-4

Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

Chang Xiong Nie, Tong Zhu Li, Yi Jun He, Chuan Xi Wu

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.

Original language	English
Pages (from-to)	953-965
Number of pages	13
Journal	Science China Mathematics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s11425-009-0206-4
Publication status	Published - 2010

Keywords

Conformal invariants
Conformal isoparametric hypersurfaces
Lorentz conformal geometry

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10.1007/s11425-009-0206-4

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title = "Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space",

abstract = "The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.",

keywords = "Conformal invariants, Conformal isoparametric hypersurfaces, Lorentz conformal geometry",

author = "Nie, {Chang Xiong} and Li, {Tong Zhu} and He, {Yi Jun} and Wu, {Chuan Xi}",

year = "2010",

doi = "10.1007/s11425-009-0206-4",

language = "English",

volume = "53",

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journal = "Science China Mathematics",

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T1 - Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

AU - Nie, Chang Xiong

AU - Li, Tong Zhu

AU - He, Yi Jun

AU - Wu, Chuan Xi

PY - 2010

Y1 - 2010

N2 - The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.

AB - The conformal geometry of regular hypersurfaces in the conformal space is studied. We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence.

KW - Conformal invariants

KW - Conformal isoparametric hypersurfaces

KW - Lorentz conformal geometry

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U2 - 10.1007/s11425-009-0206-4

DO - 10.1007/s11425-009-0206-4

M3 - Article

AN - SCOPUS:77952229494

SN - 1674-7283

VL - 53

SP - 953

EP - 965

JO - Science China Mathematics

JF - Science China Mathematics

IS - 4

ER -

Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space

Abstract

Keywords

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