Second order parallel tensors on -contact metric manifolds.
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Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Mondal, A.K., De, U.C., Özgür, C. (2010)
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We prove that if the sectional curvature of an n-dimensional pseudo-symmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.
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The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.