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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
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1983
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics