On hypersurfaces of H^(2)×H^(2)  

作　　者：Dong Gao Hui Ma Zeke Yao 

机构地区：[1]School of Science,Beijing University of Civil Engineering and Architecture,Beijing 102616,China [2]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

出　　处：《Science China Mathematics》2024年第2期339-366,共28页中国科学（数学）（英文版）

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

摘　　要：In this paper,we study hypersurfaces of H^(2)×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.

关 键 词：constant principal curvature homogeneous hypersurface isoparametric hypersurface 

分 类 号：O186.11[理学—数学]