| Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.349446 |
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| Title: | Hyperbolic behaviour of geodesic flows on manifolds with no focal points | ||||||
| Author: | Burns, Keith Howard |
ISNI:
0000 0001 3510 9688
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| Awarding Body: | University of Warwick | ||||||
| Current Institution: | University of Warwick | ||||||
| Date of Award: | 1983 | ||||||
| Availability of Full Text: |
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| Abstract: | |||||||
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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.
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| Supervisor: | Not available | Sponsor: | Not available | ||||
| Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
| EThOS ID: | uk.bl.ethos.349446 | DOI: | Not available | ||||
| Keywords: | QA Mathematics | ||||||
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