On golden semisymmetric metric $F$-connections

Authors

AYDIN GEZER
ÇAĞRI KARAMAN

Abstract

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.

DOI

10.3906/mat-1510-77

Keywords

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

First Page

869

Last Page

887

Recommended Citation

GEZER, AYDIN and KARAMAN, ÇAĞRI (2017) "On golden semisymmetric metric $F$-connections," Turkish Journal of Mathematics: Vol. 41: No. 4, Article 9. https://doi.org/10.3906/mat-1510-77
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/9