Compactness and Finiteness Results for Gromov-Hyperbolic Spaces

Compacité et finitude pour les espaces Gromov-hyperboliques

Gérard Besson (1) , Gilles Courtois (2)

1 IF - Institut Fourier
2 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

This is a series of lectures on Bishop-Gromov's type inequalities adapted to metric spaces. We consider the case of Gromov-hyperbolic spaces and draw consequences of these inequalities such as compactness and finiteness Theorems. This course is intended to be elementary in the sense that the necessary background is described in detail. The final version of this article will appear in the book « Surveys in Geometry » (ed. A. Papadopoulos), Springer Nature, 2021.

Mots clés: AMS codes: 51K10; 53C23; 53C21; 53E20; 57K30 Contents

Domaines: Mathématiques [math]

Gérard Besson, Gilles Courtois. Compactness and Finiteness Results for Gromov-Hyperbolic Spaces. Doctoral. India. 2019. ⟨hal-03227056⟩