Metallic deformation on para-Sasaki-like para-Norden manifold

Abstract

The main goal of this paper is to define the concept of metallic deformation through a relation between the metallic structure and paracontact structure on an almost paracontact para-Norden manifold. A Riemannian connection is obtained on a metallically deformed para-Sasaki-like para-Norden manifold. A $ \varphi $-connection is obtained via the Riemannian connection on a metallically deformed para-Sasaki-like para-Norden manifold. The curvature tensors, Ricci tensors, scalar curvatures, and $ \ast $-scalar curvatures are investigated with respect to the Riemannian connection and the $ \varphi $-connection. Finally, an example is given of a metallically deformed $ 3 $-dimensional para-Sasaki-like para-Norden manifold.

Keywords

• para-sasaki-like para-norden manifold
• paracontact structure
• metallic deformation