@article{article_1660417, title={$\eta $-Ricci Bourguignon Soliton on Para-Sasakian Manifolds with SSNM-Connection}, journal={Konuralp Journal of Mathematics}, volume={13}, pages={223–232}, year={2025}, author={Mandal, Abhıjıt}, keywords={η-Ricci-Bourguignon soliton;, η-Einstein manifold, para-Sasakian manifold;, semi-symmetric nonmetric connection, τ-curvature tensor}, abstract={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.}, number={2}, publisher={Mehmet Zeki SARIKAYA}