Coxeter groups, hyperbolic cubes and acute triangulations

DOI10.1112/jtopol/jtv038zbMath1376.20040arXiv1306.6025OpenAlexW3106412376MaRDI QIDQ2797314

Sang-hyun Kim, Genevieve S. Walsh

Publication date: 5 April 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6025

zbMATH Keywords

triangulationright-angled Coxeter group\(\mathrm{CAT}(-1)\) spaceshyperbolic right-angled reflection group

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Acute Geodesic Triangulations of Manifolds

Uses Software

• CaGe

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Acute triangulations of polyhedra and \(\mathbb R^N\)
• Geometrization of 3-dimensional orbifolds
• Triangulations presque équilatérales des surfaces. (Almost equilateral triangulations of surfaces)
• A characterization of compact convex polyhedra in hyperbolic 3-space
• The Colin de Verdière number and sphere representations of a graph
• Plane graphs with straight edges whose bounded faces are acute triangles
• Hyperbolic Coxeter groups of large dimension.
• Tiling space and slabs with acute tetrahedra.
• Three-dimensional orbifolds and cone-manifolds
• Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion)
• A dihedral acute triangulation of the cube
• Andreev's theorem on hyperbolic polyhedra
• On torsion-free groups with infinitely many ends
• Construction of planar triangulations with minimum degree 5
• On low-dimensional faces that high-dimensional polytopes must have
• Well-Centered Triangulation
• On Nonobtuse Simplicial Partitions
• Acute triangulations of polygons

This page was built for publication: Coxeter groups, hyperbolic cubes and acute triangulations