TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION

Kazan A., KARADAĞ H. B.

HONAM MATHEMATICAL JOURNAL, cilt.40, sa.3, ss.487-508, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5831/hmj.2018.40.3.487
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.487-508
  • İnönü Üniversitesi Adresli: Evet

Özet

In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (alpha, beta) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.