American Institute of Mathematical Sciences

January  2009, 3(1): 13-34. doi: 10.3934/jmd.2009.3.13

Absence of mixing for smooth flows on genus two surfaces

 1 Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, United States

Received  May 2008 Revised  November 2008 Published  February 2009

We prove that typical area-preserving flows with linearly isomorphic nondegenerate saddles on genus two surfaces are not mixing.
Citation: Dmitri Scheglov. Absence of mixing for smooth flows on genus two surfaces. Journal of Modern Dynamics, 2009, 3 (1) : 13-34. doi: 10.3934/jmd.2009.3.13
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