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

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	953-965
页数	13
期刊	Science China Mathematics
卷	53
期	4
DOI	https://doi.org/10.1007/s11425-009-0206-4
出版状态	已出版 - 2010

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10.1007/s11425-009-0206-4

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Nie, C. X., Li, T. Z., He, Y. J., & Wu, C. X. (2010). Conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space. Science China Mathematics, 53(4), 953-965. https://doi.org/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}",

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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

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

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