Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce Conjugacy and rigidity for nonpositively curved manifolds of higher rank. (English) Zbl 0859.53024 Topology 35, No. 2, 273-286 (1996). 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) Cited in 5 Documents MSC: 53C20 Global Riemannian geometry, including pinching 53C22 Geodesics in global differential geometry Keywords:dynamic rigidity; geodesic flow; rigidity of compact Riemannian manifolds; nonpositive sectional curvature PDFBibTeX XMLCite \textit{C. B. Croke} et al., Topology 35, No. 2, 273--286 (1996; Zbl 0859.53024) Full Text: DOI