数学
瑞奇流
测地线
纯数学
边界(拓扑)
里希曲率
公制(单位)
歧管(流体力学)
双曲3流形
三角测量
班级(哲学)
双曲流形
相对双曲群
数学分析
几何学
曲率
机械工程
运营管理
经济
双曲函数
工程类
人工智能
计算机科学
作者
Feng, Ke,Ge, Huabin,Hua, Bobo
出处
期刊:Geometry & Topology
[Mathematical Sciences Publishers]
日期:2020-09-08
卷期号:26 (3): 1349-1384
被引量:1
标识
DOI:10.2140/gt.2022.26.1349
摘要
We prove that for a compact 3-manifold M with boundary admitting an ideal triangulation T with valence at least 10 at all edges, there exists a unique complete hyperbolic metric with totally geodesic boundary, so that T is isotopic to a geometric decomposition of M. Our approach is to use a variant of the combinatorial Ricci flow introduced by Luo [Luo05] for pseudo 3-manifolds. In this case, we prove that the extended Ricci flow converges to the hyperbolic metric exponentially fast.
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