TY  - JOUR
T1  - $\eta $-Ricci Bourguignon Soliton on Para-Sasakian Manifolds with SSNM-Connection
AU  - Mandal, Abhıjıt
PY  - 2025
DA  - October
Y2  - 2025
JF  - Konuralp Journal of Mathematics
JO  - Konuralp J. Math.
PB  - Mehmet Zeki SARIKAYA
WT  - DergiPark
SN  - 2147-625X
SP  - 223
EP  - 232
VL  - 13
IS  - 2
LA  - en
AB  - The purpose of the present paper is to study $\eta $-Ricci-Bourguignon soliton on para-Sasakian manifold under some curvature conditions. We introduce here a new semi-symmetric non metric connection (briefly, SSNM-connection) on para-Sasakian manifold. We have obtained characterizations of para-Sasakian manifold based on both $\eta $% -Ricci-Bourguignon soliton and the $T_{\theta }$-curvature tensor with the SSNM-connection, where the $T_{\theta }$-curvature tensor is the generalization of conformal, concircular, conharmonic, projective, pseudo projective and $M$- projective curvature tensors. Moreover, we investigate $T_{\theta } $-Ricci symmetric para-Sasakian manifold admitting $\eta $% -Ricci-Bourguignon soliton with respect to SSNM-connection.
KW  - η-Ricci-Bourguignon soliton;
KW  - η-Einstein manifold
KW  - para-Sasakian manifold;
KW  - semi-symmetric nonmetric connection
KW  - τ-curvature tensor
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UR  - https://dergipark.org.tr/en/pub/konuralpjournalmath/issue//1660417
L1  - https://dergipark.org.tr/en/download/article-file/4702116
ER  -