论文信息 - Ideal triangulation and minimal shearing of punctured hyperbolic surfaces

Ideal triangulation and minimal shearing of punctured hyperbolic surfaces

Abstract 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.

Manman Jiang

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