论文标题
Polyhedra的体积猜想意味着Stoker的猜想
The volume conjecture for polyhedra implies the Stoker conjecture
论文作者
论文摘要
我们表明，Polyhedra的体积猜想意味着Stoker猜想的弱版本。反过来，我们证明了这种弱版本的猜想意味着斯托克的猜想。所使用的主要工具是蒙特库奎尔和魏斯的结果的扩展，称二面角是局部坐标，用于紧凑的polyhedra，其角度为$ \ leqπ$。
We show that the Volume Conjecture for polyhedra implies a weak version of the Stoker Conjecture; in turn we prove that this weak version of the Stoker conjecture implies the Stoker conjecture. The main tool used is an extension of a result of Montcouquiol and Weiss, saying that dihedral angles are local coordinates for compact polyhedra with angles $\leq π$.
