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.
Golden Riemannian structure, semisymmetric metric $F$-connection, Tachibana operator, transposed connection
GEZER, AYDIN and KARAMAN, ÇAĞRI
"On golden semisymmetric metric $F$-connections,"
Turkish Journal of Mathematics: Vol. 41:
4, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/9