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arxiv: 1504.03271 · v1 · pith:GUNXGUE2new · submitted 2015-04-13 · 🧮 math.DG

On Warped Product Super Generalized Recurrent Manifolds

classification 🧮 math.DG
keywords recurrentgeneralizedmanifoldproductwarpedsuperlikeresult
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The object of the present paper is to obtain the characterization of a warped product semi-Riemannian manifold with a special type of recurrent like structure, called super generalized recurrent. As consequence of this result we also find out the necessary and sufficient conditions for a warped product manifold to satisfy some other recurrent like structures such as weakly generalized recurrent manifold, hyper generalized recurrent manifold etc. Finally as a support of the main result, we present an example of warped product super generalized recurrent manifold.

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