On hypersurfaces of H2×H2

作     者：Dong Gao Hui Ma Zeke Yao 

作者机构：School of Science Beijing University of Civil Engineering and Architecture Department of Mathematical Sciences Tsinghua University 

出 版 物：《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期：2024年第67卷第2期

页      面：339-366页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11831005, 12061131014 and 12171437) China Postdoctoral Science Foundation (Grant No. 2022M721871) 

主　　题：constant principal curvature homogeneous hypersurface isoparametric hypersurface 53C42 53B25 53C40 

摘      要：In this paper, we study hypersurfaces of H2× H2. 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.