Ï -Einstein Solitons on Warped Product Manifolds and Applications

Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica and Antonio Masiello

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: The purpose of this research is to investigate how a Ï -Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of Ï -Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a Ï -Einstein soliton warped product manifold to make its factor Ï -Einstein soliton are examined. On a Ï -Einstein gradient soliton warped product manifold, necessary and sufficient conditions for making its factor Ï -Einstein gradient soliton are presented. Ï -Einstein solitons on warped product manifolds admitting a conformal vector field are also considered. Finally, the structure of Ï -Einstein solitons on some warped product space-times is investigated.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1028339

DOI: 10.1155/2022/1028339

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