On Anti-Kähler manifolds with complex semi-symmetric metric $F-$connection

Authors : Çağrı KARAMAN, Aydın GEZER

Pages : 1006-1019

Doi:10.15672/hujms.496068

View : 27 | Download : 11

Publication Date : 2020-06-02

Article Type : Research Paper

Abstract :In this paper, we construct a complex semi-symmetric metric $F$-connection on an anti-Kähler 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.
Keywords : pure tensor, anti Kähler manifold, complex semi symmetric metric F connection, curvature tensor, Tachibana operator