The number of cusps of right-angled polyhedra in hyperbolic spaces

DOI10.3836/tjm/1452806056zbMath1341.51014arXiv1312.0380OpenAlexW2964095471MaRDI QIDQ267458

Jun Nonaka

Publication date: 8 April 2016

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0380

zbMATH Keywords

combinatoricscusphyperbolic spaceright-angled polyhedron

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) General geometric structures on low-dimensional manifolds (57M50) Reflection groups, reflection geometries (51F15)

Related Items (2)

Ideal right-angled polyhedra in Lobachevsky space ⋮ Right-angled polyhedra and hyperbolic 3-manifolds

Cites Work

• Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers
• On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
• On the optimality of the ideal right-angled 24-cell
• Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space
• On right-angled reflection groups in hyperbolic spaces.
• On simple ideal hyperbolic Coxeter polytopes
• ON THE CLASSIFICATION OF ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES
• ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE
• Notes on right-angled Coxeter polyhedra in hyperbolic spaces.

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