Classification of hypersurfaces with parallel Laguerre second fundamental form in Rn

Tongzhu Li; Haizhong Li; Changping Wang

doi:10.1016/j.difgeo.2009.09.005

Classification of hypersurfaces with parallel Laguerre second fundamental form in Rⁿ

Tongzhu Li^*
, Haizhong Li
, Changping Wang

^*此作品的通讯作者

数学学院

Capital Normal University
Tsinghua University
Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

20 引用（Scopus）

摘要

Let x : M → Rⁿ be an umbilical free hypersurface with non-zero principal curvatures. Two basic invariants of x under the Laguerre transformation group are the Laguerre metric g and the Laguerre second fundamental form B. In this paper, we classify all oriented hypersurfaces in Rⁿ with a parallel Laguerre second fundamental form B. Crown

源语言	英语
页（从-至）	148-157
页数	10
期刊	Differential Geometry and its Application
卷	28
期	2
DOI	https://doi.org/10.1016/j.difgeo.2009.09.005
出版状态	已出版 - 4月 2010

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10.1016/j.difgeo.2009.09.005

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引用此

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abstract = "Let x : M → Rn be an umbilical free hypersurface with non-zero principal curvatures. Two basic invariants of x under the Laguerre transformation group are the Laguerre metric g and the Laguerre second fundamental form B. In this paper, we classify all oriented hypersurfaces in Rn with a parallel Laguerre second fundamental form B. Crown",

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AU - Li, Haizhong

AU - Wang, Changping

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N2 - Let x : M → Rn be an umbilical free hypersurface with non-zero principal curvatures. Two basic invariants of x under the Laguerre transformation group are the Laguerre metric g and the Laguerre second fundamental form B. In this paper, we classify all oriented hypersurfaces in Rn with a parallel Laguerre second fundamental form B. Crown

AB - Let x : M → Rn be an umbilical free hypersurface with non-zero principal curvatures. Two basic invariants of x under the Laguerre transformation group are the Laguerre metric g and the Laguerre second fundamental form B. In this paper, we classify all oriented hypersurfaces in Rn with a parallel Laguerre second fundamental form B. Crown

KW - Laguerre metric

KW - Laguerre second fundamental form

KW - Laguerre transformation group

UR - https://www.scopus.com/pages/publications/76849109136

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DO - 10.1016/j.difgeo.2009.09.005

M3 - Article

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JO - Differential Geometry and its Application

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ER -

Classification of hypersurfaces with parallel Laguerre second fundamental form in Rn

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Classification of hypersurfaces with parallel Laguerre second fundamental form in Rⁿ