On the geodesic flow of surfaces of nonpositive curvature
Dynamical Systems
2007-05-23 v1
Abstract
Let 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.
Cite
@article{arxiv.math/0301010,
title = {On the geodesic flow of surfaces of nonpositive curvature},
author = {Federico Rodriguez Hertz},
journal= {arXiv preprint arXiv:math/0301010},
year = {2007}
}