On compact asymptotically harmonic manifolds (Q1204256)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On compact asymptotically harmonic manifolds |
scientific article; zbMATH DE number 126372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On compact asymptotically harmonic manifolds |
scientific article; zbMATH DE number 126372 |
Statements
On compact asymptotically harmonic manifolds (English)
0 references
3 March 1993
0 references
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.
0 references
negative curvature
0 references
geodesic flow
0 references
rank one locally symmetric compact manifold
0 references
