Reference : Revisiting Poincaré's Theorem on presentations of discontinuous groups via fundamenta... |
Scientific journals : Article | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/45737 | |||
Revisiting Poincaré's Theorem on presentations of discontinuous groups via fundamental polyhedra | |
English | |
Jespers, E. ![]() | |
Kiefer, Ann ![]() | |
del Río, Á. ![]() | |
2015 | |
Expositiones Mathematica | |
33 | |
4 | |
401--430 | |
Yes (verified by ORBilu) | |
0723-0869 | |
[en] Discontinuous groups ; Kleinian Groups ; Presentations ; Fundamental Domain | |
[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. | |
http://hdl.handle.net/10993/45737 |
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