7 citations · 10 across the 14 of their papers we have counts for
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Polynomial area growth for special Kähler metrics
Yiqian Shi, Ke Wang, Bin Xu
Let be an affine special Kähler metric on a punctured disc and let be its associated holomorphic cubic differential. We prove that if the -area of con…
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…
Solutions to Toda system with cone singularities via toric curves on compact Riemann surfaces
Jingyu Mu, Yiqian Shi, Bin Xu
On a compact Riemann surface (X) with finite punctures (P_1, \ldots, P_k), we define toric curves as multi-valued, totally unramified holomorphic maps to (\mathbb{P}^n) with monodr…
The space of germs of extremal K\" ahler metrics in one dimension comprises three distinct components
Qing Chen, Yiqian Shi, Bin Xu
In the 1980s, Eugenio Calabi introduced the concept of {\it extremal K\" ahler metrics} as critical points of the -norm functional of scalar curvature in the space of K\" ahle…
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…
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…
The Riemannian manifolds with boundary and large symmetry
Zhi Chen, Yiqian Shi, Bin Xu
Sixty years ago, S. B. Myers and N. E. Steenrod ({\it Ann. of Math.} {\bf 40} (1939), 400-416) showed that the isometry group of a Riemannian manifold without boundary has a struct…