RICCI-伪对称(LCS)n -流形几乎承认\(\eta\) - RICCI孤子

Asian Journal of Mathematics and Computer Research Pub Date : 2022-10-20 DOI:10.56557/ajomcor/2022/v29i27900

M. Atc̣eken, Tuğba Mert, Pakize Uygun

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引用次数: 5

摘要

本文的目的是研究几乎\(\eta\)−Ricci孤子的Ricci-伪对称(LCS)n -流形。我们证明了如果一个Ricci-赝对称(LCS)n -流形允许\(\eta\) - Ricci孤子，那么它就是一个\(\eta\) -爱因斯坦，并找到了临界值。然后对其进行了一些表征，并进行了分类。

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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RICCI-PSEUDOSYMMETRIC (LCS)n −MANIFOLDS ADMITTING ALMOST \(\eta\)−RICCI SOLITONS

The objective of this paper is to study Ricci-pseudosymmetric (LCS)n −manifolds admitting almost \(\eta\)−Ricci solitons. We show that if a Ricci-pseudosymmetric (LCS)n −manifold admits \(\eta\)−Ricci soliton, then it is an \(\eta\)−Einstein and find the critical values. Then some characterizations are obtained and some classifications have made.

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Asian Journal of Mathematics and Computer Research

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