The mean curvature of a transversely orientable foliation (Q1762639)
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scientific article; zbMATH DE number 2133434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mean curvature of a transversely orientable foliation |
scientific article; zbMATH DE number 2133434 |
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The mean curvature of a transversely orientable foliation (English)
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11 February 2005
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The author proves that the mean curvature function of a codimension-one transversely oriented \(C^\infty\)-foliation \(\mathcal{F}\) on a complete Riemannian manifold has a superior limit. Using this result he characterizes codimension-one totally geodesic foliations.
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foliation
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mean curvature
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totally geodesic
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Riemannian manifold
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Ricci curvature
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