Developments in finsler geometry dynamical and metric aspects

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Project objective

My research project will be carried out at the department of mathematic at Manchester University in the group of Ergodic Theory and Dynamical Systems, and is centered on the three following points: - the problem of minimal topological and volume growth entropies for Finsler metrics on a Riemannian hyperbolic compact manifold M with both normalisations by the volume of M and by Liouville's volume of the sphere bundle; - the problem of minimal topological entropy for Finsler metrics on a locally symmetric Riemannian compact manifold of the non compact type with rank>l; - the study on a compact manifold, from the Finslerian point of view, o the negatively curved Riemannian metrics for which Bowen-Margulis and Liouville measures coincide. These questions, which run straight on from my Ph. D. thesis, will brin to me a wider competence in my own area (Finsler geometry) together with a fresh knowledge in the field of dynamical systems.

Original text from CORDIS.

Participants

• UNIVERSITY OF MANCHESTER · MANCHESTERCoordinatorUnited Kingdom
• Not availableCity levelFrance

Links

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