On compact pseudo-Riemannian manifolds admitting Killing vector fields

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Document Type : Original Article

Author

Department of Pure Mathematic, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Abstract

We prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold M and existence of Killing vector fields on M.

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Main Subjects

AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 08 March 2025

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