Ricci Solitons on Generalized Sasakian-Space-Forms with Kenmotsu Metric

被引：0
|
作者：
Rani, Savita [1 ]
Gupta, Ram Shankar [1 ]
机构：
[1] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, New Delhi 110078, India
来源：
MATHEMATICAL NOTES | 2024年 / 115卷 / 1-2期
关键词：
generalized Sasakian-space-form; Ricci soliton; *-Ricci soliton; Kenmotsu manifold; conformal Killing vector field; REAL HYPERSURFACES; CONTACT;
D O I：
10.1134/S0001434624010231
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Ricci solitons and *-Ricci solitons on generalized Sasakian-space-forms(GSSF) M2n+1(f(1),f(2),f(3)) with parallel *-Ricci tensor. Wefind that if GSSF M2n+1(f(1), f(2), f(3)) with Kenmotsu metric admits a Ricci soliton or a *-Ricci soliton, then f(1) = -1 and f(2) = f(3) = 0. Moreover, the Ricci soliton is expanding, and the *-Ricci soliton is steady. Further, we provide some examples.
引用
收藏
页码：240 / 257
页数：18
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