A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Siraj Uddin, Cenap Ozel and Viqar Azam Khan

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold M of a cosymplectic manifold M̅ 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.

Date: 2012
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https://doi.org/10.1155/2012/716967

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:716967

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