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Compactness and Finiteness Results for Gromov-Hyperbolic Spaces

In: Surveys in Geometry I

Author

Listed:
  • Gérard Besson

    (Université de Grenoble, Institut Fourier)

  • Gilles Courtois

    (Institut de Mathématiques de Jussieu – Paris Rive Gauche (IMJ-PRG))

Abstract

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.

Suggested Citation

  • Gérard Besson & Gilles Courtois, 2022. "Compactness and Finiteness Results for Gromov-Hyperbolic Spaces," Springer Books, in: Athanase Papadopoulos (ed.), Surveys in Geometry I, chapter 0, pages 205-268, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-86695-2_6
    DOI: 10.1007/978-3-030-86695-2_6
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