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On hypersurfaces of H2 × H2

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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.

constant principal curvaturehomogeneous hypersurfaceisoparametric hypersurface

Dong Gao、Hui Ma、Zeke Yao

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School of Science,Beijing University of Civil Engineering and Architecture,Beijing 102616,China

Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaChina Postdoctoral Science Foundation

1183100512061131014121714372022M721871

2024

10.1007/s11425-022-2103-2

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子：0.36
ISSN：1674-7283
年,卷(期)：2024.67(2)
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