On the geodesic flow of surfaces of nonpositive curvature

2003/01/02 by Federico Rodriguez Hertz, Hertz, Federico Rodriguez · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.math/0301010

arxiv created 2003/01/02 · arxiv updated 2009/11/30

Abstract

Let S be a surface of nonpositive curvature of genus bigger than 1 (i.e. not the torus). We prove that any flat strip in the surface is in fact a flat cylinder. Moreover we prove that the number of homotopy classes of such flat cylinders is bounded.

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