Ricci Solitons on submanifolds of $(LCS)_n$-Manifolds
Shyamal Kumar Hui, Rajendra Prasad, Tanumoy Pal
TL;DR
This paper investigates Ricci solitons on invariant and anti-invariant submanifolds within $(LCS)_n$-manifolds, analyzing their properties under different connections to understand their geometric behavior.
Contribution
It introduces the study of Ricci solitons on submanifolds of $(LCS)_n$-manifolds considering both Riemannian and quarter symmetric metric connections, which is a novel approach.
Findings
Characterization of Ricci solitons on invariant submanifolds
Analysis of Ricci solitons on anti-invariant submanifolds
Comparison of properties under different connections
Abstract
The present paper deals with the study of Ricci solitons on invariant and anti-invariant submanifolds of -manifolds with respect to Riemannian connection as well as quarter symmetric metric connection.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research