Conjugacy and rigidity for nonpositively curved manifolds of higher rank (Q1913466)
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scientific article; zbMATH DE number 878540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conjugacy and rigidity for nonpositively curved manifolds of higher rank |
scientific article; zbMATH DE number 878540 |
Statements
Conjugacy and rigidity for nonpositively curved manifolds of higher rank (English)
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14 May 1996
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The main result of this paper concerns the rigidity of compact Riemannian manifolds \(M\) and \(N\) of nonpositive sectional curvature, dimension \(\geq 3\) and rank \(\geq 2\): if \(F:SM\to SN\) is a \(C^0\) conjugacy between the geodesic flows, then there exists an isometry \(G:M\to N\) inducing the same isomorphism between the fundamental groups as \(F\).
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dynamic rigidity
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geodesic flow
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rigidity of compact Riemannian manifolds
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nonpositive sectional curvature
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