Codimension-one foliations with one compact leaf (Q910018)
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scientific article; zbMATH DE number 4138691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Codimension-one foliations with one compact leaf |
scientific article; zbMATH DE number 4138691 |
Statements
Codimension-one foliations with one compact leaf (English)
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1989
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The main result of the paper is the following: Let M be a complete connected Riemannian manifold and let F be a codimension-one totally geodesic foliation of M having at least one compact leaf. Then any Killing vector field preserves F.
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totally geodesic foliation
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compact leaf
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Killing vector field
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