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The templates of non-singular Smale flows on three manifolds

Published online by Cambridge University Press:  24 May 2011

BIN YU
BIN YU*
Affiliation:
Department of Mathematics, Tongji University, Shanghai, 200092, China (email: binyu1980@gmail.com)
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Abstract

In this paper, we first discuss some connections between template theory and the description of basic sets of Smale flows on 3-manifolds due to F. Béguin and C. Bonatti. The main tools we use are symbolic dynamics, template moves and some combinatorial surgeries. Secondly, we obtain some relationship between the surgeries and the number of S1×S2 factors of M for a non-singular Smale flow on a given closed orientable 3-manifold M. We also prove that any template T can model a basic set Λ of a non-singular Smale flow on nS1×S2 for some positive integer n.

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 3 , June 2012 , pp. 1137 - 1155
Copyright
Copyright © Cambridge University Press 2011

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