论文标题
双曲线边界表面上的Yamabe组合
Combinatorial Yamabe flow on hyperbolic bordered surfaces
论文作者
论文摘要
本文研究了双曲线边界表面上的Yamabe组合。我们表明该流量存在一直存在，并将指数迅速收敛到共形因子，该因子产生了双曲线表面，其边界组件的长度等于规定的正数。这为此类问题提供了算法。
This paper studies the combinatorial Yamabe flow on hyperbolic bordered surfaces. We show that the flow exists for all time and converges exponentially fast to conformal factor which produces a hyperbolic surface whose lengths of boundary components are equal to prescribed positive numbers. This provides an algorithm to such problems.
