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: | |
本文献已被 ScienceDirect 等数据库收录! |
|