Paysage Systolique Des Surfaces Hyperboliques Compactes De Caracteristique -1
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We determine optimal inequalities for the systole of all hyperbolic compact surfaces of caracteristic -1. First, we study the geometry and topology of these surfaces. Then, we describe the action of modular groups on Teichm\"{u}ller spaces. Finaly, we give cell decompositions of fundamental domains such as the set of systoles is constant over a cell. Other optimal inequalities for other metric invariants are also given.
Keywords
Cite
@article{arxiv.math/0508036,
title = {Paysage Systolique Des Surfaces Hyperboliques Compactes De Caracteristique -1},
author = {Matthieu Gendulphe},
journal= {arXiv preprint arXiv:math/0508036},
year = {2007}
}
Comments
37 pages, 19 figures