Para-Kenmotsu流形上𝜂-Ricci孤子的曲率性质

Pub Date : 2019-01-01 DOI:10.5666/KMJ.2019.59.1.149

Abhishek Singh, S. Kishor

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引用次数: 7

摘要

本文研究了拟kenmotsu流形上的η-Ricci孤子的曲率性质。得到了拟kenmotsu流形上满足R(ξ，X)、c = 0, R(ξ，X)的η-Ricci孤子的一些结果。M³= 0,r (ξ， x)P = 0, R(ξ，X).C ω = 0, R(ξ，X).H ω = 0，其中C ω、M ω、P、C ω、H分别是拟共形曲率张量、M -射影曲率张量、伪射影曲率张量、共圆曲率张量、共调和曲率张量。

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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Curvature Properties of 𝜂-Ricci Solitons on Para-Kenmotsu Manifolds

In the present paper, we study curvature properties of η-Ricci solitons on para-Kenmotsu manifolds. We obtain some results of η-Ricci solitons on para-Kenmotsu manifolds satisfying R(ξ,X).C = 0, R(ξ,X).M̃ = 0, R(ξ,X).P = 0, R(ξ,X).C̃ = 0 and R(ξ,X).H = 0, where C, M̃ , P , C̃ and H are a quasi-conformal curvature tensor, a M -projective curvature tensor, a pseudo-projective curvature tensor, and a concircular curvature tensor and conharmonic curvature tensor, respectively.

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