Abstract

IntroductionIt is a fundamental fact that on an almost complex manifold with Hermi-tian metric (almost Hermitian manifold), the action of the almost complexstructure on the tangent space at each point of the manifold is isometry.There is another kind of metric, called a Norden metric or a B-metric on analmost complex manifold, such that the action of the almost complex struc-ture is anti-isometry with respect to the metric. Such a manifold is calledan almost complex manifold with Norden metric

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