On a semi-symmetric metric connection on the tangent bundle with the complete lift metric

GEZER A., KARAKAŞ E.

RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, cilt.9, sa.1, ss.73-84, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 1
  • Basım Tarihi: 2018
  • Dergi Adı: RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.73-84
  • Anahtar Kelimeler: Semi-symmetric metric connection, tangent bundle, complete lift metric
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define a semi-symmetric metric connection on the tangent bundle equipped with complete lift metric. We compute the curvature tensors of this connection and study their properties. Also we investigate conditions for the tangent bundle to be locally conformally flat with respect to this connection.