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

Gezer, Aydın; Karakas, Erkan

doi:10.22190/fumi210506050g

Makale Tam Makale Uluslararası 2021

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

Aydın Gezer, Erkan Karakas

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS Cilt 36 · Sayı 3 · ss. 669–683 · 01.01.2021

DOI ile aç

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.

Anahtar kelimeler

Tangent bundle Complete lift metric semi-symmetric metric connection vector fields

Atıf için künye

Gezer, A., & Karakas, E. (2021). SOME VECTOR FIELDS ON THE TANGENT BUNDLE WITH A SEMI-SYMMETRIC METRIC CONNECTION. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 36(3), 669–683. https://doi.org/10.22190/fumi210506050g

BibTeX

@article{gezer2021-73753,
  author = {Gezer, Aydın and Karakas, Erkan},
  title = {SOME VECTOR FIELDS ON THE TANGENT BUNDLE WITH A SEMI-SYMMETRIC METRIC CONNECTION},
  journal = {FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS},
  year = {2021},
  volume = {36},
  number = {3},
  pages = {669--683},
  issn = {0352-9665},
  doi = {10.22190/fumi210506050g},
  url = {https://akademik.atauni.edu.tr/yayinlar/73753-some-vector-fields-on-the-tangent-bundle-with-a-semi-symmetric-metric-connection}
}