Geometric orbifolds.

Dunbar, William D.. "Geometric orbifolds.." Revista Matemática de la Universidad Complutense de Madrid 1.1-2-3 (1988): 67-99. <http://eudml.org/doc/43193>.

@article{Dunbar1988,
abstract = {An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma &lt; Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and the closed oriented geometric 3-orbifolds with S3 as their underlying topological space are enumerated (except for hyperbolic orbifolds).},
author = {Dunbar, William D.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio topológico; Espacio de Hausdorff; Variedad fibrada de Seifert; Orbita; orbifold; properly discontinuous group action on a manifold; 3- dimensional orbifolds; geometric orbifolds},
language = {eng},
number = {1-2-3},
pages = {67-99},
title = {Geometric orbifolds.},
url = {http://eudml.org/doc/43193},
volume = {1},
year = {1988},
}

TY - JOUR
AU - Dunbar, William D.
TI - Geometric orbifolds.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1988
VL - 1
IS - 1-2-3
SP - 67
EP - 99
AB - An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma &lt; Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and the closed oriented geometric 3-orbifolds with S3 as their underlying topological space are enumerated (except for hyperbolic orbifolds).
LA - eng
KW - Espacio topológico; Espacio de Hausdorff; Variedad fibrada de Seifert; Orbita; orbifold; properly discontinuous group action on a manifold; 3- dimensional orbifolds; geometric orbifolds
UR - http://eudml.org/doc/43193
ER -