Geodesic
A different perspective solitons on Sasakian manifolds admitting general connection
Tuğba Mert1 ; Mehmet Atçeken2 ; Mohd Danish Siddiqi3 ; Tuğba Mert ; Mehmet Atçeken ; Mohd Danish Siddiqi
1Department of Mathematics, Faculty of Science, University of Sivas Cumhuriyet, 58140, Sivas, Turkey
2Department of Mathematics, Faculty of Art and Science, University of Aksaray, 68100, Aksaray, Turkey
3Department of Mathematics College of Science, Jazan University, P.O. Box 277, Jazan 45142, Saudi Arabia
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 3, pp. 191-208 
Tuğba Mert; Mehmet Atçeken; Mohd Danish Siddiqi; Tuğba Mert; Mehmet Atçeken; Mohd Danish Siddiqi. A different perspective solitons on Sasakian manifolds admitting general connection. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 3, pp. 191-208. http://geodesic.mathdoc.fr/item/AMUC_2025_94_3_a4/
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     title = { A different perspective solitons on {Sasakian} manifolds admitting general connection},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {191--208},
     year = {2025},
     volume = {94},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_3_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.