Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space (Q1079190)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space |
scientific article; zbMATH DE number 3962612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space |
scientific article; zbMATH DE number 3962612 |
Statements
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space (English)
0 references
1986
0 references
The author proofs the following Theorem: In Lobachevskian space of dimension \(>995\) there do not exist discrete groups generated by reflections with fundamental polyhedron of finite volume.
0 references
intersection of polyhedra by hyperplanes
0 references
toroidal manifold
0 references
discrete reflection group
0 references
Lobachevskij space
0 references
0 references