Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sn+1

Tongzhu Li; Xiang Ma; Changping Wang

doi:10.1007/s11512-011-0161-5

Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sⁿ⁺¹

Tongzhu Li^*, Xiang Ma, Changping Wang

^*此作品的通讯作者

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

The purpose of this paper is to classify the Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sⁿ⁺¹ under the Möbius transformation group. Additionally, we give a classification of the Möbius homogeneous hypersurfaces in S⁴.

源语言	英语
页（从-至）	315-328
页数	14
期刊	Arkiv for Matematik
卷	51
期	2
DOI	https://doi.org/10.1007/s11512-011-0161-5
出版状态	已出版 - 10月 2013

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10.1007/s11512-011-0161-5

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引用此

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title = "M{\"o}bius homogeneous hypersurfaces with two distinct principal curvatures in Sn+1",

abstract = "The purpose of this paper is to classify the M{\"o}bius homogeneous hypersurfaces with two distinct principal curvatures in Sn+1 under the M{\"o}bius transformation group. Additionally, we give a classification of the M{\"o}bius homogeneous hypersurfaces in S4.",

author = "Tongzhu Li and Xiang Ma and Changping Wang",

year = "2013",

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AU - Ma, Xiang

AU - Wang, Changping

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AB - The purpose of this paper is to classify the Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sn+1 under the Möbius transformation group. Additionally, we give a classification of the Möbius homogeneous hypersurfaces in S4.

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DO - 10.1007/s11512-011-0161-5

M3 - Article

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JO - Arkiv for Matematik

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ER -

Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sn+1

摘要

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Möbius homogeneous hypersurfaces with two distinct principal curvatures in Sⁿ⁺¹