Lengthening deformations of singular hyperbolic tori
arXiv:1506.05654
Abstract
Let be a torus with a hyperbolic metric admitting one puncture or cone singularity. We describe which infinitesimal deformations of lengthen (or shrink) all closed geodesics. We also study how the answer degenerates when becomes Euclidean, i.e. very small.
17 pages, 5 figures. To appear in: Annales de la faculté des sciences de Toulouse (volume dedicated to Michel Boileau's sixtieth birthday)