Aydin GEZER, Çağri KARAMAN

100102

On golden semisymmetric metric $F$-connections

In this paper, we construct a golden semisymmetric metric $F$-connection on a locally decomposable golden Riemannian manifold and investigate some properties of its curvature, conharmonic curvature, Weyl projective curvature, and torsion tensors. Moreover, we define the transposed connection of this connection and study its curvature properties.
Keywords:

Golden Riemannian structure, semisymmetric metric $F$-connection Tachibana operator, transposed connection,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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