Drawing cone spherical metrics via Strebel differentials (1708.06535v2)

Published 22 Aug 2017 in math.CV

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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