抄録
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 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.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 153-163 |
| ページ数 | 11 |
| ジャーナル | Journal of Geometry |
| 巻 | 83 |
| 号 | 1-2 |
| DOI | |
| 出版ステータス | Published - 2005 12月 |
ASJC Scopus subject areas
- 幾何学とトポロジー