PAYSAGE SYSTOLIQUE DES SURFACES HYPERBOLIQUES COMPACTES DE CARACTERISTIQUE -1
Language
fr
Document de travail - Pré-publication
English 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 ...Read more >
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 Teichmüller 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.Read less <
Keywords
systoles
espaces de Teichmüller
surfaces de Klein
Origin
Hal imported