Abstract:
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.
Fulltext:
PDF file (712 kB)
