A different perspective solitons on Sasakian manifolds admitting general connection

Abstract

In this study, we investigate the geometry of Sasakian manifolds that admit a general connection by means of special curvature conditions. We combine η-Ricci-Yamabe solitons with some special curvature conditions such as the projective and W₁-curvature tensors, and obtain important characterizations of the Sasakian manifold. Furthermore, we present important results for Sasakian manifolds concerning different connections such as Tanaka-Webster, Schouten-Van Kampen, and Zamkovoy.