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

页码：240 / 257

页数：18

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