On Holomorphic poly-Norden Manifolds

Authors : Çağrı Karaman, Zühre Topuz

Pages : 1388-1400

Doi:10.3906/mat-2001-36

View : 13 | Download : 0

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, we investigated a new manifold with a poly-Norden structure, which is inspired by the positive root of the equation $x^{2}-mx-1=0$. We call this new manifold as holomorphic poly-Norden manifolds. We examine some properties of the Riemann curvature tensor and give an example of this manifold. Then, we define a different connection on this manifold which is named the semisymmetric metric poly F-connection and study some properties of the curvature and torsion tensor field according to this connection.
Keywords : Poly-Norden structure, semisymmetric metric connection, Tachibana operator, bronze ratio