On pseudoparallel submanifold of trans-Sasakian manifolds admitting semisymmetric metric connection
Mehmet Atçeken, Tuğba Mert
Received November 13, 2024. Published online April 8, 2025.
Abstract: The aim of the present paper is to study invariant pseudoparallel submanifolds of a trans-Sasakian manifold equipped with semisymmetric metric connection. We have searched the necessary and sufficient conditions for an invariant pseudoparallel submanifold to be totally geodesic with respect to semisymmetric metric connection and structures reduced by the structures on the ambient manifold under the same conditions.
Keywords: trans-Sasakian manifold; pseudoparallel and Ricci pseudoparallel; Ricci-generalized pseudoparallel and 2-pseudoparallel submanifold, semisymmetric metric connection
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Affiliations: Mehmet Atçeken (corresponding author), Aksaray University, Ek Binasi 2, Aksaray, Turkey, e-mail: mehmet.atceken382@gmail.com; Tuğba Mert, Sivas Cumhuriyet University, 58140 Yerleşke, Sivas, Turkey, e-mail: tmert@cumhuriyet.edu.tr
