Nonexistence of totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds (Q373474)
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scientific article; zbMATH DE number 6215740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonexistence of totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds |
scientific article; zbMATH DE number 6215740 |
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Nonexistence of totally contact umbilical slant lightlike submanifolds of indefinite cosymplectic manifolds (English)
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17 October 2013
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Summary: We study totally contact umbilical slant light-like submanifolds of indefinite cosymplectic manifolds. We prove that there do not exist totally contact umbilical proper slant light-like submanifolds in indefinite cosymplectic manifolds other than totally contact geodesic proper slant light-like submanifolds. We also prove that there do not exist totally contact umbilical proper slant light-like submanifolds of indefinite cosymplectic space forms. Finally we give characterization theorems on minimal slant light-like submanifolds.
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indefinite cosymplectic manifolds
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totally contact
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umbilical
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proper slant
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minimal slant light-like submanifolds
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