On compact asymptotically harmonic manifolds
The authors prove the following theorem: Let \(M\) be a compact smooth (Riemannian) manifold with negative curvature which is asymptotically harmonic. Then the geodesic flow of \(M\) is \(C^ \infty\) conjugate to that of a rank one locally symmetric compact manifold.
rank one locally symmetric compact manifold
scientific article; zbMATH DE number 126372