Geodesic
On volumes of hyperbolic right-angled polyhedra
Sbornik. Mathematics, Tome 214 (2023) no. 2, pp. 148-165

Voir la notice de l'article provenant de la source Math-Net.Ru

New upper bounds for the volumes of right-angled polyhedra in hyperbolic space $\mathbb{H}^3$ are obtained in the following three cases: for ideal polyhedra with all vertices on the ideal hyperbolic boundary; for compact polyhedra with only finite vertices; and for finite-volume polyhedra with vertices of both types. Bibliography: 23 titles.
Keywords: right-angled polyhedra, hyperbolic space, hyperbolic knots and links. 
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     title = {On volumes of hyperbolic right-angled polyhedra},
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S. A. Alexandrov; N. V. Bogachev; A. Yu. Vesnin; A. A. Egorov. On volumes of hyperbolic right-angled polyhedra. Sbornik. Mathematics, Tome 214 (2023) no. 2, pp. 148-165. http://geodesic.mathdoc.fr/item/SM_2023_214_2_a0/