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

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

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

11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	315-328
Number of pages	14
Journal	Arkiv for Matematik
Volume	51
Issue number	2
DOIs	https://doi.org/10.1007/s11512-011-0161-5
Publication status	Published - Oct 2013

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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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doi = "10.1007/s11512-011-0161-5",

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AU - Li, Tongzhu

AU - Ma, Xiang

AU - Wang, Changping

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N2 - 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.

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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U2 - 10.1007/s11512-011-0161-5

DO - 10.1007/s11512-011-0161-5

M3 - Article

AN - SCOPUS:84883771007

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EP - 328

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JF - Arkiv for Matematik

IS - 2

ER -

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

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