关于爱因斯坦N(k)-接触度量流形

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-24 DOI:10.5269/bspm.46872

S. Yadav, Xiaomin Chen

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引用次数: 0

摘要

本文的目的是表征容许ricci孤子的爱因斯坦N(k)-接触度量流形。讨论了这一结果的几个后果。除此之外，我们还研究了满足一定曲率条件的-爱因斯坦N(k)-接触度量流形。其中证明了这样的流形或局部等距黎曼积En+1(0) Sn(4)或Sasakian流形。最后，我们构造了一个例子来验证一些结果。

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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On eta-Einstein N(k)-contact metric manifolds

The aim of this paper is to characterize eta-Einstein N(k)-contact metric manifolds admits eta-Ricci soliton. Several consequences of this result are discussed. Beside these, we also study eta-Einstein N(k)-contact metric manifolds satisfying certain curvature conditions. Among others it is shown that such a manifold is either locally isometric to the Riemannian product En+1(0) Sn(4) or a Sasakian manifold. Finally, we construct an example to verify some results.

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks