Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor-Reference-Cited by-同舟云学术

Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

Published:2024-05-30 Issue:6 Volume:13 Page:370
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Siddiqi Mohd Danish¹^ORCID,Bossly Rawan¹

Affiliation:

1. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia

Abstract

In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection in terms of gradient Ricci solitons. We also characterize anti-invariant, invariant, quasi-umbilical submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection for which the same inequality case holds. Finally, we deduce the above inequalities in terms of a scalar concircular field on submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection.

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/6/370/pdf

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