Study of N(k)-Quasi Einstein Manifolds with Certain Curvature Restrictions

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Published: Dec 15, 2022

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S K Chaubey
Section of Mathematics, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas, Oman
G. P. Pokhariyal
School of Mathematics, University of Nairobi, Nairobi, Kenya
Mohd. Danish Siddiqi
Department of Mathematics, College of Science, Jazan University, Jazan, Kingdom of Saudi Arabia

Abstract

This paper deals with the study of -quasi-Einstein manifolds under certain curvature restrictions. We construct the non-trivial physical and geometrical examples of -quasi-Einstein manifolds, which validate the existence of such manifolds. The necessary and sufficient conditions for which the conformally and quasi-conformally flat -quasi-Einstein manifolds satisfy certain curvature restrictions are derived. We also prove that the generator of the manifold is a Killing vector field and the integral curves generated by the characteristic vector field are geodesics.

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Chaubey SK, Pokhariyal GP, Mohd. Danish Siddiqi. Study of N(k)-Quasi Einstein Manifolds with Certain Curvature Restrictions. J. Int. Acad. Phys. Sci. [Internet]. 2022 Dec. 15 [cited 2024 May 18];26(4):363-8. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/890
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Vol. 26 No. 4 (2022): Table of Content
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