$N(\kappa )-$contact Metric Manifolds with Generalized Tanaka-Webster Connection

Abstract

In this paper we work on $N(\kappa )$-contact metric manifolds with a generalized Tanaka-Webster connection . We obtain some curvature properties. It is proven that if a $N(\kappa )$-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also we examine some flatness and symmetric conditions of concircular curvature tensor on a $N(\kappa )$-contact metric manifolds with a generalized Tanaka-Webster connection.

14 pages

References in corpus (1)

• Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold