26 citations · 124 across the 45 of their papers we have counts for
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Zariski-Dense Monodromy of Singular Hyperbolic Metrics on Non-Hyperbolic Riemann Surfaces
Yu Feng, Yiqian Shi, Jijian Song +1
We prove that the monodromy group of every singular hyperbolic metric on a non-hyperbolic Riemann surface, in the sense of potential theory, is Zariski dense in ${\rm PSL}(2,\mathb…
Geometric structure and existence of reducible spherical conical metrics
Zhiqiang Wei, Yingyi Wu, Bin Xu
A conformal metric with finitely many conical singularities of constant Gaussian curvature on a compact Riemann surface is referred to as a spherical conical m…
Singular hyperbolic metrics and negative subharmonic functions
Yu Feng, Yiqian Shi, Jijian Song +1
We propose a conjecture that the monodromy group of a singular hyperbolic metric on a non-hyperbolic Riemann surface is {\it Zariski dense} in . By using m…
The Gauss-Bonnet formula of a conical metric on a compact Riemann surface
Hanbing Fang, Bin Xu, Bairui Yang
We prove a generalization of the classical Gauss-Bonnet formula for a conical metric on a compact Riemann surface provided that the Gaussian curvature is Lebesgue integrable with r…
Spectral properties of reducible conical metrics
Bin Xu, Xuwen Zhu
We show that the monodromy of a spherical conical metric is reducible if and only if it has a real-valued eigenfunction with eigenvalue 2 in the holomorphic extension of the associ…
Isolated singularities of flat metrics on Riemann surfaces
Jin Li, Bin Xu
Robert Bryant (Theorie des varietes minimales et applications, 1988, 154: 321-347) proved that an isolated singularity of a conformal metric of positive constant curvature on a Rie…