| Autor: |
Rabia Cakan Akpınar, Esen Kemer Kansu |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 9, Iss 7, Pp 19125-19136 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2024932https://www.aimspress.com/article/doi/10.3934/math.2024932 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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