Gibbs measures on negatively curved manifolds
The paper contains a construction of a Gibbs measure on the unitary bundle of any connected complete manifold whose sectional curvatures are negative, bounded, and bounded away from 0. Additionally, ergodic properties of these measures are developed. In particular, with the added assumption that the manifold is geometrically finite, it is shown that there is an ergodic probability measure that is invariant under the geodesic flow and is fully supported on the flow's nonwandering set.
scientific article; zbMATH DE number 1930208
scientific article