Characteristic lightlike submanifolds of an indefinite \(\mathcal S\)-manifold (Q763015)
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scientific article; zbMATH DE number 6013249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic lightlike submanifolds of an indefinite \(\mathcal S\)-manifold |
scientific article; zbMATH DE number 6013249 |
Statements
Characteristic lightlike submanifolds of an indefinite \(\mathcal S\)-manifold (English)
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8 March 2012
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Summary: We study characteristic \(r\)-light-like submanifolds \(M\) tangent to the characteristic vector fields in an indefinite metric \(\mathcal S\)-manifold, and we also discuss the existence of characteristic light-like submanifolds of an indefinite \(\mathcal S\)-space form under suitable hypotheses: (1) \(M\) is totally umbilical or (2) its screen distribution \(S(TM)\) is totally umbilical in \(M\).
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indefinite metric \(\mathcal S\)-manifold
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characteristic vector fields
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screen distribution
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0.9483064
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0.93670356
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0.9349411
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0.9303713
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0.92878455
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0.92462885
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0.9221007
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