TY  - JOUR
T1  - $\eta$-Ricci-Yamabe Solitons on $K$-Contact Manifolds under $D$-Homothetic Deformation
AU  - R. C., Pavithra
AU  - Nagaraja, H.g.
PY  - 2025
DA  - April
Y2  - 2025
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 14
EP  - 20
VL  - 13
IS  - 1
LA  - en
AB  - 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.
KW  - $\eta$-Ricci-Yamabe soliton
KW  - concircularly flat
KW  - $D$-homothetic deformation
KW  - $M$-projectively flat
KW  - $K$-contact manifold
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UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/issue//1538212
L1  - https://dergipark.org.tr/en/download/article-file/4167232
ER  -