On anti-Kahler manifolds with complex semi-symmetric metric F-connection

KARAMAN Ç., GEZER A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.3, ss.1006-1019, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.496068
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1006-1019
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we construct a complex semi-symmetric metric F-connection on an anti-Kahler manifold. First, we present some results concerning the torsion tensor of the complex semi-symmetric metric F-connection. Finally, we find expressions of the curvature tensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of such connection, and study their properties.y