Conjugacy and rigidity for nonpositively curved manifolds of higher rank
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 \(F\).
rigidity of compact Riemannian manifolds
scientific article; zbMATH DE number 878540