Turkish Journal of Mathematics
DOI
10.3906/mat-2001-36
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
First Page
1388
Last Page
1400
Recommended Citation
KARAMAN, ÇAĞRI and TOPUZ, ZÜHRE
(2020)
"On Holomorphic poly-Norden Manifolds,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 22.
https://doi.org/10.3906/mat-2001-36
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/22
