Green's theorem on a foliated Riemannian manifold and its applications (Q810891)
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scientific article; zbMATH DE number 4214862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Green's theorem on a foliated Riemannian manifold and its applications |
scientific article; zbMATH DE number 4214862 |
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Green's theorem on a foliated Riemannian manifold and its applications (English)
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1990
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The authors prove a q-codimensional analogue of the classical Green's theorem. For minimal foliations this implies that - with respect to the transverse Riemannian connection - those parallel normal vectorfields which are divergence-free and for which the Laplacian equals the Ricci operator must be transverse Killing.
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bundle-like metrics
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Green's theorem
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minimal foliations
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transverse Riemannian connection
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parallel normal vectorfields
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