RT Journal Article
T1 A proof of Thurston's uniformization theorem of geometric orbifolds.
A1 Matsumoto, Yukio
A1 Montesinos Amilibia, José María
AB The authors prove that every geometric orbifold is good. More precisely, let X be a smooth connected manifold, and let G be a group of diffeomorphisms of X with the property that if any two elements of G agree on a nonempty open subset of X, then they coincide on X. If Q is an orbifold which is locally modelled on quotients of open subsets of X by finite subgroups of G, then the authors prove that the universal orbifold covering of Q is a (G,X)-manifold. A similar theorem was stated, and the proof sketched, in W. Thurston's lecture notes on the geometry and topology of 3-manifolds.
PB Departments of Mathematics of Gakushuin University
SN 0387-3870
YR 1991
FD 1991
LK https://hdl.handle.net/20.500.14352/58616
UL https://hdl.handle.net/20.500.14352/58616
LA eng
DS Docta Complutense
RD 10 abr 2025