论文标题
具有测量边界双曲线歧管的体积和正面的下限
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary
论文作者
论文摘要
在本文中，我们得出了Bridgeman和Kahn先前作品中出现的功能的明确估计。结果，我们就具有完全大地测量边界的双曲线歧管的体积来获得最短的正缘长度的显式下限。我们还为这些歧管的体积作为维度的函数提供了下限的替代推导。
In this paper we derive explicit estimates for the functions which appear in the previous work of Bridgeman and Kahn. As a consequence, we obtain an explicit lower bound for the length of the shortest orthogeodesic in terms of the volume of a hyperbolic manifold with totally geodesic boundary. We also give an alternative derivation of a lower bound for the volumes of these manifolds as a function of the dimension.
