Weakly Einstein real hypersurfaces in CP2 and CH2

被引：6
|
作者：
Wang, Yaning [1 ]
Zhang, Yingdong [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 181卷
关键词：
Real hypersurface; Complex space form; Strongly Einstein; Strongly; 2-Hopf; CONSTANT PRINCIPAL CURVATURES; COMPLEX PROJECTIVE-SPACE; CLASSIFICATION;
D O I：
10.1016/j.geomphys.2022.104648
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify real hypersurfaces in a nonflat complex space form of complex dimension two which are weakly or strongly Einstein. Specifically, first we prove that a Hopf hypersurface of dimension three is weakly Einstein if and only if it is locally congruent to a special geodesic sphere in the complex hyperbolic plane. We prove that if a strongly Einstein real hypersurface of dimension three is non-Hopf at each point, then it is locally congruent to a strongly 2-Hopf hypersurface. (c) 2022 Elsevier B.V. All rights reserved.
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页数：11
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