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The topology of hyperbolic attractors on compact surfaces

Published online by Cambridge University Press:  11 September 2006

TODD FISHER
TODD FISHER
Affiliation:
University of Maryland, College Park, MD 20742, USA (e-mail: tfisher@math.umd.edu)
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Abstract

Suppose $M$ is a compact surface and $\Lambda\subset M$ is a non-trivial mixing hyperbolic attractor for some $f\in\mathrm{Diff}(M)$. We show that if $\Lambda$ is a hyperbolic set for some $g\in\mathrm{Diff}(M)$, then $\Lambda$ is a non-trivial mixing hyperbolic attractor or repeller for $g$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 5 , October 2006 , pp. 1511 - 1520
Copyright
2006 Cambridge University Press

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