Classifications of N(k)-contact metric manifolds satisfying certain curvature conditions

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Pradip Majhi U. C. De

Abstract

The object of the present paper is to classify $N(k)$-contact metric manifolds satisfying certain curvature conditions on the projective curvature tensor. Projectively pseudosymmetric and pseudoprojectively at $N(k)$-contact metric manifolds are considered. Beside these we also study $N(k)$-contact metric manifolds satisfying $\tilde(Z)\dot P = 0$, where \tilde(Z)$ and $P$ denote respectively the concircular and projective curvature tensor. Finally, we give an example of a $N(k)$-contact metric manifold.

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How to Cite
Majhi, P., & De, U. (2015). Classifications of N(k)-contact metric manifolds satisfying certain curvature conditions. Acta Mathematica Universitatis Comenianae, 84(1), 167-178. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/118/134
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