Discontinuous groups; Kleinian Groups; Presentations; Fundamental Domain
Résumé :
[en] We give a new self-contained proof of Poincaré's Polyhedron Theorem on presentations of discon-
tinuous groups of isometries of a Riemann manifold of constant curvature. The proof is not based
on the theory of covering spaces, but only makes use of basic geometric concepts. In a sense one
hence obtains a proof that is of a more constructive nature than most known proofs.
Disciplines :
Mathématiques
Auteur, co-auteur :
Jespers, E.
KIEFER, Ann ; University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET
del Río, Á.
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Revisiting Poincaré's Theorem on presentations of discontinuous groups via fundamental polyhedra
