# Geometric orbifolds.

Revista Matemática de la Universidad Complutense de Madrid (1988)

- Volume: 1, Issue: 1-2-3, page 67-99
- ISSN: 1139-1138

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topDunbar, 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 < 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 < 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 -

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