Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2001-36
Keywords
Poly-Norden structure, semisymmetric metric connection, Tachibana operator, bronze ratio
First Page
1388
Last Page
1400
Recommended Citation
KARAMAN, Ç, & TOPUZ, Z (2020). On Holomorphic poly-Norden Manifolds. Turkish Journal of Mathematics 44 (4): 1388-1400. https://doi.org/10.3906/mat-2001-36
