ON PSEUDOPARALLEL SUBMANIFOLD OF TRANS-SASAKIAN MANIFOLDS ADMITTING SEMISYMMETRIC METRIC CONNECTION
Mathematica Bohemica, vol.151, no.3, pp.341-356, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 151 Issue: 3
- Publication Date: 2026
- Doi Number: 10.21136/mb.2025.0146-24
- Journal Name: Mathematica Bohemica
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.341-356
- Keywords: pseudoparallel and Ricci pseudoparallel, Ricci-generalized pseudoparallel and 2-pseudoparallel submanifold, semisymmetric metric connection, trans-Sasakian manifold
- Sivas Cumhuriyet University Affiliated: No
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.