9 citations · 12 across the 3 of their papers we have counts for
3 papers
math.GT2004
A classification of hyperbolic manifolds related to the three-dimensional torus
Akira Ushijima
L. Paoluzzi constructed a family of compact orientable three-dimensional hyperbolic manifolds with totally geodesic boundary, which were, by construction, closely related to the th…
math.MG2004★ 3 cited
A volume formula for hyperbolic tetrahedra in terms of edge lengths
Jun Murakami, Akira Ushijima
We give a closed formula for volumes of generic hyperbolic tetrahedra in terms of edge lengths. The cue of our formula is by the volume conjecture for the Turaev-Viro invariant of…
math.GT2003★ 9 cited
A volume formula for generalized hyperbolic tetrahedra
Akira Ushijima
A generalized hyperbolic tetrahedra is a polyhedron (possibly non-compact) with finite volume in hyperbolic space, obtained from a tetrahedron by the polar truncation at the vertic…