Author:
Akpınar Rabia Cakan,Kansu Esen Kemer
Abstract
<p>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
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