Rank rigidity for foliations by manifolds of nonpositive curvature (Q1802537)
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scientific article; zbMATH DE number 203539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rank rigidity for foliations by manifolds of nonpositive curvature |
scientific article; zbMATH DE number 203539 |
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Rank rigidity for foliations by manifolds of nonpositive curvature (English)
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17 June 1993
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We develop a rank rigidity theorem for finite volume foliations by manifolds of nonpositive sectional curvature. It implies that if the leaves are irreducible Hadamard manifolds of geometric rank \(\geq 2\), then the leaves are symmetric.
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symmetric leaves
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Hadamard manifolds
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