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Sasakian manifold with pseudo-Riemannian metric

Sasakian manifold with pseudo-Riemannian metric

Introduction.Sasakian manifold with Riemannian metric is defined by S. Sasaki [5].In this paper, we want to define Sasakian manifold with pseudo-Riemannian metric, and discuss the classification of Sasakian manifolds.In section 1, we define a Sasakian manifold (with pseudo-Riemannian metric).In section 2, we define the model spaces of Sasakian manifolds which …