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

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-04-22 DOI:10.1134/s0001434624010231

Savita Rani, Ram Shankar Gupta

引用次数: 0

Abstract

We study Ricci solitons and \(\ast\)-Ricci solitons on generalized Sasakian-space-forms (GSSF) \(M^{2n+1} (f_1, f_2, f_3)\) with parallel \(\ast\)-Ricci tensor. We find that if GSSF \(M^{2n+1} (f_1, f_2, f_3)\) with Kenmotsu metric admits a Ricci soliton or a \(\ast\)-Ricci soliton, then \(f_1=-1\) and \(f_2=f_3=0\). Moreover, the Ricci soliton is expanding, and the \(\ast\)-Ricci soliton is steady. Further, we provide some examples.

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带有建模公设的广义萨萨基空间形式上的利玛窦孤子

Abstract 我们研究了具有平行里奇张量的广义萨萨基空间形式（GSSF）（M^{2n+1} (f_1, f_2, f_3)）上的里奇孤子和里奇孤子。我们发现，如果具有 Kenmotsu 度量的 GSSF \(M^{2n+1} (f_1, f_2, f_3) 引入了一个利玛窦孤子或一个 \(\ast\)-Ricci 孤子，那么 \(f_1=-1\) 和 \(f_2=f_3=0\)。此外，利玛窦孤子是膨胀的，而（\ast\）-利玛窦孤子是稳定的。此外，我们还提供了一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.