On generalized recurrent Kaehlerian manifolds of second order I

S. S. Singh

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Displaying similar documents to “On generalized recurrent Kaehlerian manifolds of second order I”

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For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated...

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