A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold. We show that every totally umbilical proper slant submanifold of a cosymplectic manif...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/716967 |
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| Summary: | We study slant submanifolds of a cosymplectic manifold.
It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic
manifold 𝑀 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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| ISSN: | 1085-3375 1687-0409 |