关于允许τ-拟里奇调和度量的弯曲积流形

IF 0.5 Q3 MATHEMATICS

Facta Universitatis-Series Mathematics and Informatics Pub Date : 2022-08-06 DOI:10.22190/fumi211212023g

S. Günsen, L. Onat

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引用次数: 0

摘要

本文研究了含有$\ τ $-拟里奇调和(RH)度量的弯曲积流形。证明了当翘曲积度规为$\ τ $-准RH度规时，纤维的度规是调和爱因斯坦度规。我们还给出了$M$是调和爱因斯坦流形的一些条件。最后，利用微分方程组给出了度量$g$是$\ τ $-准RH度量$g$的充分必要条件。

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 WARPED PRODUCT MANIFOLDS ADMITTING τ-QUASI RICCI-HARMONIC METRICS

In this paper, we study warped product manifolds admitting $\tau$-quasi Ricci-harmonic(RH) metrics. We prove that the metric of the fibre is harmonic Einstein when warped product metric is $\tau$-quasi RH metric. We also provide some conditions for $M$ to be a harmonic Einstein manifold. Finally, we provide necessary and sufficient conditions for a metric $g$ to be $\tau$-quasi RH metric by using a differential equation system.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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