On the deformation of inversive distance circle packings, I
On the deformation of inversive distance circle packings, I
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DOI：
10.1090/tran/7768
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发表时间：
2019-06
影响因子：
1.3
通讯作者：
Huabin Ge;Wenshuai Jiang
中科院分区：
文献类型：
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作者：
Huabin Ge;Wenshuai Jiang
在本文中，我们考虑了逆距离圆填充环境下的Chow-Luo组合Ricci流。尽管流动的解可能在有限时间内出现奇点，但我们总是可以将解扩展，使其始终存在，并且以指数速度收敛到具有指定锥角的唯一填充。我们还给出了关于所有可得锥角的范围的部分结果，推广了经典的Andreev-瑟斯顿定理。本文介绍了一个研究离散度量和离散曲率变形的程序。参考文献
In this paper, we consider Chow–Luo’s combinatorial Ricci flow in the inversive distance circle packing setting. Although a solution to the flow may develop singularities in finite time, we can always extend the solution so as it exists for all time and converges exponentially fast to a unique packing with prescribed cone angles. We also give partial results on the range of all attainable cone angles, which generalize the classical Andreev–Thurston theorem. This paper opens a program about the study of the deformations of discrete metrics and discrete curvatures. References