A study on complex semi-symmetric non-metric F-connections on anti-Kahler manifolds

KARAMAN Ç., GEZER A.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, cilt.68, sa.2, ss.405-418, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s12215-018-0365-7
  • Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.405-418
  • Anahtar Kelimeler: Complex structure, Curvature tensor, Semi-symmetric non-metric F-connection, Tachibana operator, Dual connection
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we have considered an anti-Kahler manifold (M, g, F) admitting a complex semi-symmetric non-metric F-connection .. First we study the properties of the curvature tensor, the conharmonic curvature tensor and the conformal curvature tensor of the connection .. Also, we investigate the condition for the anti-Kahler manifold (M, g, F) to be Einstein space with respect to the connection .. Finally, we define the dual connection of the connection . and present some results related to its curvature tensors.