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arXiv · 1708.06535

Drawing cone spherical metrics via Strebel differentials

Jijian Song·Yiran Cheng·Bo Li·Bin Xu
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Abstract

Cone spherical metrics are conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces. By using Strebel differentials as a bridge, we construct a new class of cone spherical metrics on compact Riemann surfaces by drawing on the surfaces some class of connected metric ribbon graphs.

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Jijian Song, Yiran Cheng, Bo Li, Bin Xu. 2018-03-21. Drawing cone spherical metrics via Strebel differentials. https://doi.org/10.1093/imrn%2Frny103

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