On hypersurfaces of H2 x H2

被引：6

作者：

Gao, Dong ^{[1
]}

Ma, Hui ^{[2
]}

Yao, Zeke ^{[2
]}

机构：

[1] Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 102616, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

constant principal curvature; homogeneous hypersurface; isoparametric hypersurface; CONSTANT PRINCIPAL CURVATURES; REAL HYPERSURFACES; ISOPARAMETRIC HYPERSURFACES; SPACE; S-2;

D O I：

10.1007/s11425-022-2103-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study hypersurfaces of H-2 x H-2. We first classify the hypersurfaces with constant principal curvatures and constant product angle functions. Then we classify homogeneous hypersurfaces and isoparametric hypersurfaces, respectively. Finally, we classify the hypersurfaces with at most two distinct constant principal curvatures, as well as those with three distinct constant principal curvatures under some additional conditions.

引用

页码：339 / 366

页数：28

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