论文标题
右角双曲线的体积估计值
Volume estimates for right-angled hyperbolic polyhedra
论文作者
论文摘要
由Andreev定理在双曲空间中有限体积的急性角度的Polyhedra $ \ Mathbb h^{3} $由其1骨骨骼和二面角的组合唯一地确定。对于一类紧凑的右角polyhedra和一类理想的右角polyhedra估计值，根据阿特金森在2009年获得的顶点数量，在2009年获得。在本文的本文上，两类的上层估计得到了改善。
By Andreev theorem acute-angled polyhedra of finite volume in a hyperbolic space $\mathbb H^{3}$ are uniquely determined by combinatorics of their 1-skeletons and dihedral angles. For a class of compact right-angled polyhedra and a class of ideal right-angled polyhedra estimates of volumes in terms of the number of vertices were obtained by Atkinson in 2009. In the present paper upper estimates for both classes are improved.
