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January  2009, 3(1): 1-11. doi: 10.3934/jmd.2009.3.1

Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus

Michael Brin 1, , Dmitri Burago 2, and  Sergey Ivanov 3,

1. 

Department of Mathematics, University of Maryland, College Park, MD 20742, United States
2. 

Department ofMathematics, The Pennsylvania State University, University Park, PA 16802
3. 

Steklov Math. Institute, 27, Fontanka, St. Petersburg 191023, Russian Federation

Received  April 2008 Revised  September 2008 Published  February 2009

We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent.
Keywords: unstable, center distributions and foliations; quasi-isometric leaves., Partially hyperbolic diffeomorphism; dynamical coherence; stable.
Mathematics Subject Classification: Primary: 34C40, 37C40, Secondary: 37D10, 37D3.
Citation: Michael Brin, Dmitri Burago, Sergey Ivanov. Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Journal of Modern Dynamics, 2009, 3 (1) : 1-11. doi: 10.3934/jmd.2009.3.1
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