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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

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Listed:
  • Siraj Uddin
  • Cenap Ozel
  • Viqar Azam Khan

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:716967
DOI: 10.1155/2012/716967
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