We compute the leading asymptotics of the counting function for closed geodesics on a convex co-compact hyperbolic manifold in terms of spectral data and scattering resonances for the Laplacian. Our result extends classical results of Selberg for compact and finite-volume surfaces to this class of infinite-volume hyperbolic manifolds.
|Number of pages||10|
|Journal||Geometric and Functional Analysis|
|State||Published - 2001|
Bibliographical noteFunding Information:
Supported in part by NSF grant DMS-9707051.
ASJC Scopus subject areas
- Geometry and Topology