@article{article_1538212, title={$\eta$-Ricci-Yamabe Solitons on $K$-Contact Manifolds under $D$-Homothetic Deformation}, journal={Konuralp Journal of Mathematics}, volume={13}, pages={14–20}, year={2025}, author={R. C., Pavithra and Nagaraja, H.g.}, keywords={$\eta$-Ricci-Yamabe soliton, concircularly flat, $D$-homothetic deformation, $M$-projectively flat, $K$-contact manifold}, 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.}, number={1}, publisher={Mehmet Zeki SARIKAYA}