On volumes of hyperbolic right-angled polyhedra
SBORNIK MATHEMATICS（2023）
Abstract
New upper bounds for the volumes of right-angled polyhedra in hyperbolic space H3 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.
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Key words
right-angled polyhedra, hyperbolic space, hyperbolic knots and links
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