LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime

Author:

Li Yanlin1ORCID,Haseeb Abdul2ORCID,Ali Musavvir3ORCID

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

2. Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

3. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Abstract

In the present paper, LP -Kenmotsu manifolds admitting η -Ricci solitons have been studied. Moreover, some results for η -Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η-Ricci solitons in a 5-dimensional LP-Kenmotsu manifold.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

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5. From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds;C. Calin;Bulletin of the Malaysian Mathematical Sciences Society,2010

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