Almost Kahler manifold
Abstract
In this paper we study one of the sixteen classes of almost Hermitian manifold, which is the almost Kahler manifold. We found its structure equation and the components of its Reimannian curvture tensor and then we proved that an almost Kahler manifold is parakahler manifold (of class ) if and only if it is Kahler manifold.
Keywords
Almost Hermitian manifold, almost Kahler manifold, Riemannian curvature tensor, parakahler manifold, Kahler manifoldMetrics