2015/06/18 by Guéritaud, François · 1 citation
#20H10 #57M50 #57M60 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1506.05654
Let S be a torus with a hyperbolic metric admitting one puncture or cone singularity. We describe which infinitesimal deformations of S lengthen (or shrink) all closed geodesics. We also study how the answer degenerates when S becomes Euclidean, i.e. very small.