D-Homothetic Deformations and Almost Paracontact Metric Manifolds

Year 2024, , 1 - 14, 31.01.2024

Şirin Aktay

https://doi.org/10.54974/fcmathsci.1240849

Abstract

In this study, we determine some of the classes of almost paracontact metric structures which are invariant under D-homothetic deformations. We write the Riemannian curvature tensor, the Ricci tensor and the scalar curvature when the characteristic vector field is Killing. In addition, we give examples.

Keywords

Almost paracontact metric structure, D-homothetic deformation, Killing vector field

Supporting Institution

Eskişehir Technical University

Project Number

22 ADP 011

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