G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2

Gilles Courtois (1) , Gérard Besson (2) , Fanny Bastien (2) , Hugo Béchet (2)

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

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.

Mots clés: eem2021; grenoble; curvature constraints and spaces of metrics; Gromov-Hyperbolic spaces

Mots clés: contraintes de courbures et espaces métriques

Domaines: Mathématiques [math]

Gilles Courtois, Gérard Besson, Fanny Bastien, Hugo Béchet. G. Courtois - Compactness and Finiteness Results for Gromov-Hyperbolic Spaces 2: Summer School 2021 - Curvature Constraints and Spaces of Metrics. 2021. ⟨hal-03338848⟩