准爱因斯坦流形承认共形向量场

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm8903-6-2023

Rahul Poddar, S. Balasubramanian, Ramesh Sharma

引用次数: 0

摘要

我们研究了具有有限m的$m$-拟爱因斯坦流形$(m,g,f，\ λ)$和一个使势向量场和标量曲率都不变的非齐次共形向量场$U$，并证明$m$是平凡的，或者$U$是Kill

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Quasi-Einstein manifolds admitting conformal vector fields

We study an $m$-quasi-Einstein manifold $(M,g,f,\lambda )$ with finite $m$, and a non-homothetic conformal vector field $U$ that leaves the potential vector field and the scalar curvature both invariant, and show that either $M$ is trivial, or $U$ is Kill

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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