论文标题
与边界紧凑的3个序列上的Ricci组合流
Combinatorial Ricci flow on compact 3-manifolds with boundary
论文作者
论文摘要
Luo在理想的三角策略的紧凑型3个manifold上流动的组合流程是在三角形的表面上引入了Chow-Luo组合RICCI流动的3维类似物，并猜想以算法以完全在Compact 3-Manifold和GeeSessies demessics上找到算法，从而发现了完全的超级衡量标准。在本文中，如果理想的三角策略的紧凑型3个manifold和边界承认这样的度量，那么我们通过扩展了通过流动的奇异性来证明Luo的猜想。
Combinatorial Ricci flow on an ideally triangulated compact 3-manifold with boundary was introduced by Luo as a 3-dimensional analog of Chow-Luo's combinatorial Ricci flow on a triangulated surface and conjectured to find algorithmically the complete hyperbolic metric on the compact 3-manifold with totally geodesic boundary. In this paper, we prove Luo's conjecture affirmatively by extending the combinatorial Ricci flow through the singularities of the flow if the ideally triangulated compact 3-manifold with boundary admits such a metric.
