Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds

Abdullah Ali H. Ahmadini, Mohd. Danish Siddiqi and Aliya Naaz Siddiqui ()
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Abdullah Ali H. Ahmadini: Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan 4512, Saudi Arabia
Mohd. Danish Siddiqi: Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan 4512, Saudi Arabia
Aliya Naaz Siddiqui: Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida 203201, UP, India

Mathematics, 2024, vol. 12, issue 9, 1-16

Abstract: In this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe solitons on submanifolds with both concircular and concurrent vector fields. Concluding our research, we offer a compelling example featuring a 5-dimensional Kenmotsu statistical manifold that accommodates both a statistical soliton and an almost quasi-Yamabe soliton. This example serves to reinforce and validate the principles discussed throughout our study.

Keywords: statistical soliton; almost quasi-Yamabe soliton; Kenmotsu statistical manifolds; Einstein statistical manifolds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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