Ideal triangulation and minimal shearing of punctured hyperbolic surfaces

Ideal triangulation and minimal shearing of punctured hyperbolic surfaces
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穿孔双曲曲面的理想三角剖分和最小剪切

DOI:
10.1016/j.jmaa.2020.124746
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发表时间:
2021-03
影响因子:
1.3
通讯作者:
Jiang Manman
Jiang Manman
中科院分区:
数学3区
文献类型:
--
作者:
Jiang Manman

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每一个打孔的双曲曲面都可以根据理想三角剖分模式和相应的剪切坐标,通过理想三角形的粘接得到。本文研究了在所有理想三角剖分中,穿孔双曲曲面的最小剪切,并证明了它与下垫面的收缩长度相当。
It is known that every punctured hyperbolic surface can be obtained by gluing ideal triangles, according to an ideal triangulation pattern and a corresponding shearing coordinate. In this paper, we study the minimal shearing of a punctured hyperbolic surface among all ideal triangulations, and show that it is comparable to the length of a systole of the underlying surface.
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