On the regularity of integrable conformal structures invariant under Anosov systems

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2005, 12(3): 377-385. doi: 10.3934/dcds.2005.12.377

On the regularity of integrable conformal structures invariant under Anosov systems

Rafael De La Llave ^1, and Victoria Sadovskaya ^2,

1.	Department of Mathematics, 1 University Station C1200, University of Texas, Austin, TX 78712, United States
2.	Department of Mathematics and Statistics, ILB 325, University of South Alabama, Mobile, AL 36688, United States

Received October 2003 Revised August 2004 Published December 2004

Abstract
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We consider conformal structures invariant under a volume-preserving Anosov system. We show that if such a structure is in $L^p$ for sufficiently large $p$, then it is continuous.

Keywords: Sobolev spaces., Anosov systems, Conformal structures.

Mathematics Subject Classification: 37D20, 37F15, 30C65, 42B2.

Citation: Rafael De La Llave, Victoria Sadovskaya. On the regularity of integrable conformal structures invariant under Anosov systems. Discrete & Continuous Dynamical Systems - A, 2005, 12 (3) : 377-385. doi: 10.3934/dcds.2005.12.377

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