On the geodesic flow of surfaces of nonpositive curvature

Details On the geodesic flow of surfaces of nonpositive curvature On the geodesic flow of surfaces of nonpositive curvature

2003-01-02

arxiv.org/abs/math/0301010v1

Mathematics

Dynamical Systems

Scientific paper

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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