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) identifier identifier

  • 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.