On compact Einstein doubly warped product manifolds

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Published: Dec 25, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2605
Keywords:
Doubly warped product manifold compact manifold Einstein manifold

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Punam Gupta

Abstract

In this paper, the non-existence of connected, compact Einstein doubly warped product semi-Riemannian manifold with non-positive scalar curvature is proved. It is also shown that there does not exist non-trivial connected Einstein doubly warped product semi-Riemannian manifold with compact base $B$ or fibre $F$.

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How to Cite
Gupta, P. (2018). On compact Einstein doubly warped product manifolds. Tamkang Journal of Mathematics, 49(4), 267–275. https://doi.org/10.5556/j.tkjm.49.2018.2605
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Vol. 49 No. 4 (2018)
Section
Papers
Author Biography

Punam Gupta

Department ofMathematics & Statistics, School ofMathematical & Physical Sciences, Dr. Harisingh GourUniversity, Sagar-470003, Madhya Pradesh, India.

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