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
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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