9 citations · 20 across the 4 of their papers we have counts for
4 papers
Le lemme de Schwarz et la borne supérieure du rayon d'injectivité des surfaces
Matthieu Gendulphe
We study the injectivity radius of complete Riemannian surfaces (S,g) with curvature |K(g)| bounded by 1. We show that if S is orientable with nonabelian fundamental group, then th…
Trois applications du lemme de Schwarz aux surfaces hyperboliques
Matthieu Gendulphe
Through the Schwarz lemma, we provide a new point of view on three well-known results of the geometry of hyperbolic surfaces. The first result deal with the length of closed geodes…
Systole et rayon maximal des variétés hyperboliques non compactes
Matthieu Gendulphe
We bound two global invariants of cusped hyperbolic manifolds: the length of the shortest closed geodesic (the systole), and the radius of the biggest embedded ball (the inradius).…
Paysage Systolique Des Surfaces Hyperboliques Compactes De Caracteristique -1
Matthieu Gendulphe
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 desc…