Let M and N be compact Riemannian manifolds with sectional curvature K ≤ 0 such that M has dimension ≥ 3 and rank ≥ 2. If there exists a C0 conjugacy F between the geodesic flows of the unit tangent bundles of M and N, then there exists an isometry G:M → N that induces the same isomorphism as F between the fundamental groups of M and N.
|Original language||English (US)|
|Number of pages||14|
|State||Published - Apr 1996|
ASJC Scopus subject areas
- Geometry and Topology