EQUIVALENT STRUCTURES ON $N(\kappa)$ MANIFOLD ADMITTING GENERALIZED TANAKA WEBSTER CONNECTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 174

Abstract

The main objective of the present paper is to study the equivalence of semi-symmetric and pseudo-symmetric conditions imposing on different curvature tensors in $N(\kappa)$ manifolds admitting generalized Tanaka Webster ($\tilde{\nabla}$) connection. Classification is done according as expression of Ricci tensor and scalar curvature with respect to $\tilde{\nabla}$ . Finally an example is given.

Keywords and Phrases

$N(\kappa)$ manifold, generalized Tanaka Webster connection, pseudo-symmetry, semi-symmetry.

A.M.S. subject classification

53D10, 53D35.

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