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Transitive Anosov flows and pseudo-Anosov maps
Authors:David Fried
Affiliation:Division of Natural Sciences University of California at Santa Cruz Santa Cruz, CA 95064 U.S.A.
Abstract:
ATRANSITIVEAnosov flow on a closed manifold Mis one with the qualitative behavior of a geodesic flow on a surface of negative curvature, that is global hyperbelocity and dense periodic set. A psedo-Anosov map is a homeomorphism of closed surface that has finitely many prescribed prong singlarities and is smooth and hyperbolic elsewhere: we refer to the Orsay Thurston Seminar for details [2]. We will show that Birkhoff's surfaces of section[1] can be used to established a close connection between these systems then M has dimension 3. This extends the srgery techniques of [4,5] to produce all the transitive Anove flows in dimension 3.
Keywords:
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