Finiteness results for equifocal hypersurfaces in compact symmetric spaces

Jian Quan Ge; Chao Qian

doi:10.1007/s11425-013-4753-3

Finiteness results for equifocal hypersurfaces in compact symmetric spaces

Jian Quan Ge, Chao Qian^*

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space. Moreover, if the symmetric space is of rank one, the result can be strengthened by dropping the condition curvature-adapted.

源语言	英语
页（从-至）	1975-1982
页数	8
期刊	Science China Mathematics
卷	57
期	9
DOI	https://doi.org/10.1007/s11425-013-4753-3
出版状态	已出版 - 9月 2014
已对外发布	是

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10.1007/s11425-013-4753-3

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Ge, J. Q., & Qian, C. (2014). Finiteness results for equifocal hypersurfaces in compact symmetric spaces. Science China Mathematics, 57(9), 1975-1982. https://doi.org/10.1007/s11425-013-4753-3

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abstract = "We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space. Moreover, if the symmetric space is of rank one, the result can be strengthened by dropping the condition curvature-adapted.",

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AB - We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space. Moreover, if the symmetric space is of rank one, the result can be strengthened by dropping the condition curvature-adapted.

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KW - finiteness

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KW - isoparametric hypersurface

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Finiteness results for equifocal hypersurfaces in compact symmetric spaces

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