Conformal metrics with singularities and finite negative total curvature on Riemann surfaces

1992 ◽  
pp. 101-107
Author(s):  
Robert C. McOwen
Keyword(s):  
Riemann Surfaces ◽  
Total Curvature ◽  
Conformal Metrics

scholarly journals Drawing Cone Spherical Metrics via Strebel Differentials

2018 ◽  
Vol 2020 (11) ◽  
pp. 3341-3363 ◽  
Author(s):  
Jijian Song ◽  
Yiran Cheng ◽  
Bo Li ◽  
Bin Xu
Keyword(s):  
Constant Curvature ◽  
Riemann Surfaces ◽  
Conformal Metrics ◽  
Conical Singularities ◽  
Ribbon Graphs ◽  
New Class ◽  
Compact Riemann Surfaces

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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