konuralp j. math.

Konuralp Journal of Mathematics

2147-625X

Mehmet Zeki SARIKAYA

Applied Mathematics (Other)

Uygulamalı Matematik (Diğer)

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

R. C.

Pavithra

Department of Mathematics Bangalure University Nagaraja

H.g.

04 30 2025

13 1 14 20 08 24 2024 01 22 2025

2013

Konuralp Journal of Mathematics

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.

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

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