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math.DG2026
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…
math.DG2024
Existence and non-uniqueness of cone spherical metrics with prescribed singularities on a compact Riemann surface with positive genus
Yu Feng, Jijian Song, Bin Xu
Cone spherical metrics, defined on compact Riemann surfaces, are conformal metrics with constant curvature one and finitely many cone singularities. Such a metric is termed \textit…
math.DG2020
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…