RESULTS CONCERNING SEMI-SYMMETRIC METRIC F-CONNECTIONS ON THE HSU-B MANIFOLDS

De, Uday; GEZER, Aydın; KARAMAN, Çağrı

doi:10.4134/ckms.c220031

RESULTS CONCERNING SEMI-SYMMETRIC METRIC F-CONNECTIONS ON THE HSU-B MANIFOLDS

De U. C., GEZER A., KARAMAN Ç.

Communications of the Korean Mathematical Society, cilt.38, sa.3, ss.837-846, 2023 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 3
Basım Tarihi: 2023
Doi Numarası: 10.4134/ckms.c220031
Dergi Adı: Communications of the Korean Mathematical Society
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Sayfa Sayıları: ss.837-846
Anahtar Kelimeler: curvature tensor field, Einstein manifold, Hsu-B manifold, semi-symmetric metric F-connection, Tachibana operator
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we firstly construct a Hsu-B manifold and give some basic results related to it. Then, we address a semi-symmetric metric F-connection on the Hsu-B manifold and obtain the curvature tensor fields of such connection, and study properties of its curvature tensor and torsion tensor fields.