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Conjugacy and rigidity for nonpositively curved manifolds of higher rank. (English) Zbl 0859.53024

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 \(F\).
Reviewer: W.Ballmann (Bonn)

MSC:

53C20 Global Riemannian geometry, including pinching
53C22 Geodesics in global differential geometry
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