Aravinda, C S; Leuzinger, Enrico (1995). Bounded geodesics in rank-1 locally symmetric spaces. Ergodic Theory and Dynamical Systems, 15(5):813-820.
Let M be a rank 1 locally symmetric space of finite Riemannian volume. It is proved that the set of unit vectors on a non-constant C1 curve in the unit tangent sphere at a point p M for which the corresponding geodesic is bounded (relatively compact) in M, is a set of Hausdorff dimension 1
Let M be a rank 1 locally symmetric space of finite Riemannian volume. It is proved that the set of unit vectors on a non-constant C1 curve in the unit tangent sphere at a point p M for which the corresponding geodesic is bounded (relatively compact) in M, is a set of Hausdorff dimension 1
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | National licences > 142-005 |
| Dewey Decimal Classification: | Unspecified |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 1 October 1995 |
| Deposited On: | 10 Oct 2018 14:49 |
| Last Modified: | 28 Nov 2023 08:03 |
| Publisher: | Cambridge University Press |
| ISSN: | 0143-3857 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1017/s0143385700009640 |
Aravinda, C S