This chapter contains an introduction to triangle comparison theorems and it is proved that the fundamental group of a compact Riemannian manifold with negative sectional curvature is hyperbolic.
Title
Espaces à courbure négative et groupes hyperboliques
Published in
Sur les groupes hyperboliques d'après Mikhael Gromov
Series
Progress in Mathematics, 83
Pages
47-66
Date
1990
Publisher
Boston, Birkhäuser
Record creation date
2008-03-16