ON PSEUDOPARALLEL SUBMANIFOLD OF TRANS-SASAKIAN MANIFOLDS ADMITTING SEMISYMMETRIC METRIC CONNECTION
Mathematica Bohemica, cilt.151, sa.3, ss.341-356, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 151 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.21136/mb.2025.0146-24
- Dergi Adı: Mathematica Bohemica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.341-356
- Anahtar Kelimeler: pseudoparallel and Ricci pseudoparallel, Ricci-generalized pseudoparallel and 2-pseudoparallel submanifold, semisymmetric metric connection, trans-Sasakian manifold
- Sivas Cumhuriyet Üniversitesi Adresli: Hayır
Özet
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.