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Polygones du plan et polyedres hyperboliques
- Source :
- Geometriae Dedicata. 43
- Publication Year :
- 1992
- Publisher :
- Springer Science and Business Media LLC, 1992.
-
Abstract
- We show that the space of convex Euclidean polygons with given angles is naturally a convex polyhedron in some hyperbolic space. This interpretation gives another proof of the existence of Im Hof's hyperbolic Coxeter orthoschemes.
- Subjects :
- Hyperbolic group
Hyperbolic space
Hyperbolic geometry
Coxeter group
Mathematical analysis
Hyperbolic manifold
Computer Science::Computational Geometry
Mathematics::Geometric Topology
Combinatorics
Convex polytope
Mathematics::Metric Geometry
Geometry and Topology
Hyperbolic triangle
Hyperbolic tree
Mathematics
Subjects
Details
- ISSN :
- 15729168 and 00465755
- Volume :
- 43
- Database :
- OpenAIRE
- Journal :
- Geometriae Dedicata
- Accession number :
- edsair.doi...........6bdb97773036a1bd5a3e33e925963b39
- Full Text :
- https://doi.org/10.1007/bf00147868