A volume formula for hyperbolic tetrahedra in terms of edge lengths

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dc.creatorMurakami, Jun
dc.creatorUshijima, Akira
dc.date2004-02-05
dc.date.accessioned2026-07-07T05:05:11Z
dc.date.available2026-07-07T05:05:11Z
dc.descriptionWe 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 closed 3-manifolds, which is defined from the quantum 6j-symbols. This formula contains the dilogarithm functions, and we specify the adequate branch to get the actual value of the volumes.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0402087
dc.identifierhttp://arxiv.org/abs/math/0402087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70077
dc.subjectMetric Geometry
dc.subject52A38 (Primary), 51M09 (Secondary)
dc.titleA volume formula for hyperbolic tetrahedra in terms of edge lengths
dc.typetext

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