On volumes of hyperbolic right-angled polyhedra

Published 16 Nov 2021 in math.GT, math.CO, math.DG, and math.MG | (2111.08789v2)

Abstract: In this paper we obtain new upper bounds on volumes of right-angled 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.

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