On volumes of hyperbolic rightangled polyhedra
Abstract
In this paper we obtain new upper bounds on volumes of rightangled polyhedra in hyperbolic space $\mathbb{H}^3$ in three different cases: for ideal polyhedra with all vertices on the ideal hyperbolic boundary, for compact polytopes with only finite (or usual) vertices, and for finite volume polyhedra with vertices of both types.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 DOI:
 10.48550/arXiv.2111.08789
 arXiv:
 arXiv:2111.08789
 Bibcode:
 2021arXiv211108789A
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Combinatorics;
 Mathematics  Differential Geometry;
 Mathematics  Metric Geometry
 EPrint:
 15 pages, 6 figures