$\eta$-Ricci-Yamabe Solitons on $K$-Contact Manifolds under $D$-Homothetic Deformation

Year 2025, Volume: 13 Issue: 1, 14 - 20, 30.04.2025

Pavithra R. C. , H.g. Nagaraja

Abstract

This article presents a study on $D$-homothetically deformed $K$-contact manifolds. If a contact metric obtained by a $D$-homothetic deformation of $M$ is a $\eta$-Ricci-Yamabe soliton with point-wise collinear then $M$ reduces to $\eta$-Einstein have been established. Furthermore, we characterise an $\eta$-Ricci-Yamabe soliton, and two more solitons, on Ricci flat, concircularly flat, $M$-projectively flat $K$-contact manifold under $D$-homothetic deformation.

Keywords

$\eta$-Ricci-Yamabe soliton, concircularly flat, $D$-homothetic deformation, $M$-projectively flat, $K$-contact manifold

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