Remarks On Four-Dimensional Pseudosymmetric Kahlerian Manifolds

Vol.2  No.4

Year : 2013

Issue : Oct-Dec

Title : Remarks On Four-Dimensional Pseudosymmetric Kahlerian Manifolds

Author Name : Beldjilali Gherici, Mohamed Belkhelfa, Hasni Abdelbasset

Synopsis :

In the present paper, we prove that for a 4-dimensional properly pseudosymmetric Kählerian manifold M, the Ricci tensor vanishes on the set p Î {M/ f(p) 6≠ 0} where f is the structure fonction (i.e R(X,Y ) = f(XÙY).R) and for f > 0 the manifold is not compact. Various examples are discussed.

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