An example of how the Ricci Flow can increase topological entropy

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dc.creatorJane, Dan
dc.date2006-09-22
dc.date.accessioned2026-07-07T07:25:08Z
dc.date.available2026-07-07T07:25:08Z
dc.descriptionWe give a surface for which the Ricci Flow applied to the metric will increase the topological entropy of the geodesic flow. Specifically, we first adapt the Melnikov method to apply to a Ricci Flow perturbation and then we construct a surface which is closely related to a surface of revolution, but does not quite have rotational symmetry. This is done by adapting the Liouville metric representation of a surface of revolution. The final steps of the Melnikov method require numerical integration.
dc.description15 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0609642
dc.identifierhttp://arxiv.org/abs/math/0609642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116625
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject34C35; 53C44
dc.titleAn example of how the Ricci Flow can increase topological entropy
dc.typetext

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