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October  2009, 3(4): 589-594. doi: 10.3934/jmd.2009.3.589

Foliations with unbounded deviation on $\mathbb T^2$

Dmitri Panov 1,

1. 

Department of Mathematics, South Kensington Campus, Imperial College London, London, SW7 2AZ, United Kingdom

Received  July 2009 Revised  August 2009 Published  January 2010

We study $C^{\infty}$-foliations with $3$ singular points on $\mathbb T^2$ whose lift to $\mathbb R^2$ has connected leaves that are dense subsets of $\mathbb R^2$.
Keywords: pseudo-Anosov map, quadratic differential., Unstable foliation.
Mathematics Subject Classification: Primary: 37E35; Secondary: 57M5.
Citation: Dmitri Panov. Foliations with unbounded deviation on $\mathbb T^2$. Journal of Modern Dynamics, 2009, 3 (4) : 589-594. doi: 10.3934/jmd.2009.3.589
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