SOME VECTOR FIELDS ON THE TANGENT BUNDLE WITH A SEMI-SYMMETRIC METRIC CONNECTION

Gezer A., Karakas E.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.36, sa.3, ss.669-683, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22190/fumi210506050g
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.669-683
  • Anahtar Kelimeler: Complete lift metric, semi-symmetric metric connection, tangent bundle, vector fields
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let M be a (pseudo-)Riemannian manifold and TM be its tangent bundle with the semi-symmetric metric connection (del) over bar. In this paper, we examine some special vector fields, such as incompressible vector fields, harmonic vector fields, concurrent vector fields, conformal vector fields and projective vector fields on TM with respect to the semi-symmetric metric connection (del) over bar and obtain some properties related to them.