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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
Journal article   Open access  Peer reviewed

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Siraj Uddin, Cenap Ozel and Viqar Azam Khan
Abstract and applied analysis, Vol.2012, pp.1-8
01/01/2012
DOI: https://doi.org/10.1155/2012/716967

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold M of a cosymplectic manifold (M) over bar is either an anti-invariant submanifold or a 1-dimensional submanifold. We show that every totally umbilical proper slant submanifold of a cosymplectic manifold is totally geodesic.
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https://doi.org/10.1155/2012/716967View
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