A different perspective solitons on sasakian manifolds admitting general connection

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. © 2025, Comenius University in Bratislava. All rights reserved.