Projective Curvature Tensor on N($\kappa$)-Contact Metric Manifold Admitting Semi-Symmetric Non-Metric Connection

Authors : Mustafa Altin

Pages : 94-100

Doi:10.33401/fujma.733415

View : 14 | Download : 12

Publication Date : 2020-12-15

Article Type : Research

Abstract :The object of the present paper is to classify $N(\kappa)$-contact metric manifolds admitting the semi-symmetric non-metric connection with certain curvature conditions the projectively curvature tensor. We studied projective flat, $\xi- $projectively flat, $\phi- $projectively flat $N(\kappa )$-contact metric manifolds admitting the semi-symmetric non-metric connection. Also, we examine such manifolds under some local symmetry conditions related to projective curvature tensor. 
Keywords : $N(kappa)$-contact metric manifolds, Projective curvature tensor, Semi-symmetric non-metric connection