3-DIMENSIONAL REAL HYPERSURFACES WITH TRANSVERSAL η-KILLING RICCI TENSOR FIELD OF A COMPLEX SPACE FORM

被引：0

作者：

Kon, Mayuko ^{[1
]}

机构：

[1] Shinshu Univ, Fac Educ, 6 Ro, Nagano 3808544, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 01期

关键词：

Ricci tensor; real hypesurface; complex space form; transversal eta-Killing;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify real hypersurfaces of a non-flat complex space form of complex dimension 2 satisfying the condition that the Ricci tensor S is the transversal Killing tensor field on the direction of the structure vector field xi and S xi = beta xi where beta is a function.

引用

页码：203 / 211

页数：9

共 35 条

[31] Real hypersurfaces in complex two-plane Grassmannians with ξ-invariant Ricci tensor (vol 61, pg 808, 2011)
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JOURNAL OF GEOMETRY AND PHYSICS, 2014, 83 : 99 - 103
[32] Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form
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[33] REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM
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BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 81 (02) : 260 - 273
[34] The structure vector field and structure Jacobi operator of real hypersurfaces in nonflat complex space forms
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GEOMETRIAE DEDICATA, 2010, 149 (01) : 161 - 176
[35] The structure vector field and structure Jacobi operator of real hypersurfaces in nonflat complex space forms
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Ryoichi Takagi
Geometriae Dedicata, 2010, 149 : 161 - 176

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