REAL HYPERSURFACES IN CP2 AND CH2 WITH CYCLIC PARALLEL *-RICCI TENSOR

被引：1
|
作者：
Wang, Yaning [1 ]
Wang, Wenjie [2 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou 450046, Henan, Peoples R China
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2021年 / 58卷 / 03期
关键词：
real hypersurface; nonflat complex plane; cyclic parallel *-Ricci operator;
D O I：
10.1556/012.2021.58.3.1501
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the *-Ricci tensor of a real hypersurface in complex projective plane CP2 or complex hyperbolic plane CH2 is cyclic parallel if and only if the hypersurface is of type (A). We find some three-dimensional real hypersurfaces having non-vanishing and non-parallel *-Ricci tensors which are cyclic parallel.
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页码：308 / 318
页数：11
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