On Holomorphic poly-Norden Manifolds | Zendy

Cagri Karaman | Zendy; Zühre TOPUZ | Zendy

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On Holomorphic poly-Norden Manifolds

Author(s) -

Cagri Karaman,

Zühre TOPUZ

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2001-36

Subject(s) - mathematics , connection (principal bundle) , riemann curvature tensor , holomorphic function , pure mathematics , manifold (fluid mechanics) , torsion (gastropod) , curvature , ricci curvature , sectional curvature , mathematical analysis , metric (unit) , complex manifold , topology (electrical circuits) , combinatorics , geometry , scalar curvature , mechanical engineering , medicine , operations management , surgery , engineering , economics

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.

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