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Quaestiones Mathematicae

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On the projective curvature tensor of generalized Sasakian-space-forms

UC De, Avijit Sarkar

Abstract


The object of the present paper is to study the nature of generalized Sasakian-space-forms under some conditions regarding projective curvature tensor. All the results obtained in this paper are in the form of necessary and sufficient conditions.

Keywords: Generalized Sasakian-space-forms; projectively flat; projectively-semisymmetric; projectively symmetric; projectively recurrent; Einstein manifold; scalar curvature

Quaestiones Mathematicae 33(2010), 245–252



http://dx.doi.org/10.2989/16073606.2010.491203
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