The Library
Hyperbolic behaviour of geodesic flows on manifolds with no focal points
Tools
Tools
Tools
Burns, Keith Howard (1983) Hyperbolic behaviour of geodesic flows on manifolds with no focal points. PhD thesis, University of Warwick.
|
PDF
WRAP_Theses_Burns_1983.pdf - Submitted Version - Requires a PDF viewer. Download (5Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3254571~S15
Abstract
We consider a Riemannian manifold M with no focal points such that the universal cover contains a geodesic which does not bound a flat totally geodesically embedded half plane. It is shown that
(i) If the non-wandering set of the geodesic flow is the whole of SM , then the closed orbits are dense in SM .
(ii) If M is compact then the geodesic flow is ergodic and Bernoulli with respect to the Liouville measure on SM.
| Item Type: | Thesis (PhD) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Hyperbolic spaces, Geodesic flows, Manifolds (Mathematics) | ||||
| Official Date: | September 1983 | ||||
| Dates: |
|
||||
| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Manning, Anthony, 1946- | ||||
| Format of File: | |||||
| Extent: | xv, 163 leaves | ||||
| Language: | eng |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
