Semiconformal Curvature Tensor on $(\kappa,\mu)$-Paracontact Metric Manifolds

Abstract

This paper investigates several properties of the semiconformal curvature tensor on a $(\kappa,\mu)$-paracontact metric manifold. It first examines the results arising when such a manifold is both semiconformal and semisymmetric. Based on these findings, this study provides characterizations of the manifold. It then explores the derivative interactions between various curvature tensors and the semiconformal curvature tensor. According to the results, the present paper establishes the conditions under which a $(\kappa,\mu)$-paracontact metric manifold reduces to a $(\kappa, \mu)$-paracontact metric manifold.

Keywords

• Semiconformal curvature tensor
• $(\kappa,\mu)$-paracontact metrric manifolds
• semisymmetric

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