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

[1] Ricci tensor of Hopf hypersurfaces in a complex space form
Kon, Mayuko
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2018, 11 (02): : 1 - 7
[2] REAL HYPERSURFACES OF A NONFLAT COMPLEX SPACE FORM IN TERMS OF THE RICCI TENSOR
Ki, U-Hang
Nagai, Setsuo
TSUKUBA JOURNAL OF MATHEMATICS, 2005, 29 (02) : 511 - 532
[3] On the Ricci tensor and the generalized Tanaka-Webster connection of real hypersurfaces in a complex space form
Kon, Mayuko
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (3-4): : 531 - 548
[4] Transversal Killing operators on real hypersurfaces in nonflat complex space forms
Wang, Yaning
Zhang, Yingdong
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 82
[5] Transversal symmetries on real hypersurfaces in a complex space form
Cho, Jong Taek
Kimura, Makoto
HIROSHIMA MATHEMATICAL JOURNAL, 2013, 43 (02) : 223 - 238
[6] Real Hypersurfaces in Complex Hyperbolic Space with Commuting Ricci Tensor
Ki, U-Hang
Suh, Young Jin
KYUNGPOOK MATHEMATICAL JOURNAL, 2008, 48 (03): : 433 - 442
[7] The Ricci tensor and structure Jacobi operator of real hypersurfaces in a complex projective space
Ki U.-H.
Nagai S.
Journal of Geometry, 2009, 94 (1-2) : 123 - 142
[8] Transversal Killing h-Operators on Real Hypersurfaces in Nonflat Complex Space Forms
Wang, Yaning
Zhang, Yingdong
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (01)
[9] Real hypersurfaces with Killing type operators in a nonflat complex space form
Wang Y.
Journal of Geometry, 2017, 108 (3) : 825 - 835
[10] ON HOPF HYPERSURFACES IN A NON-FLAT COMPLEX SPACE FORM WITH η-RECURRENT RICCI TENSOR
Kon, Song-How
Loo, Tee-How
KODAI MATHEMATICAL JOURNAL, 2010, 33 (02) : 240 - 250

← 1 2 3 4 →