7 citations · 10 across the 8 of their papers we have counts for
8 papers
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…
Stable parabolic Higgs bundles of rank two and singular hyperbolic metrics
Yu Feng, Bin Xu
In this paper, we construct a stable parabolic Higgs bundle of rank two, which corresponds to the uniformization associated with a conformal hyperbolic metric on a compact Riemann…
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…
Multiple Ising interfaces in annulus and -sided radial SLE
Yu Feng, Hao Wu, Lu Yang
We consider critical planar Ising model in annulus with alternating boundary conditions on the outer boundary and free boundary conditions in the inner boundary. As the size of the…
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…
Characterizing isolated singularities of conformal hyperbolic metrics
Yu Feng, Yiqian Shi, Bin Xu
We find the explicit local models of isolated singularities of conformal hyperbolic metrics by Complex Analysis, which is interesting in its own and could potentially be extended t…
Isolated singularities of conformal hyperbolic metrics
Yu Feng, Yiqian Shi, Bin Xu
J. Nitsche proved that an isolated singularity of a conformal hyperbolic metric is either a conical singularity or a cusp one. We prove by developing map that there exists a comple…
Bounded Projective Functions and Hyperbolic Metrics with Isolated Singularities
Bo Li, Yu Feng, Long Li +1
We establish a correspondence on a Riemann surface between hyperbolic metrics with isolated singularities and bounded projective functions whose Schwarzian derivatives have at most…