From the 1 of 7 linked papers with an AI index.
7 papers
Classification of spherical metrics on tori with four singularities, I: half periods
Erjuan Fu, Chang-Shou Lin
Classifying the spherical metrics on a torus with conic angle at each half period point\, \, is equivalent to classify solutions of the followin…
On monodromy and spectral geometry of generalized Lamé equations with four singularities, I: half periods
Erjuan Fu, Chang-Shou Lin
We consider the unitary monodromy problem of the following generalized Lamé equations with apparent parameters \begin{equation*} y^{\prime\prime}(z)=\left(\frac{3}{4}\sum_{k=0}^3\…
Geometric analysis on rhombus torus: Green function with two singularities
Zhijie Chen, Erjuan Fu, Chang-Shou Lin +1
The paper studies how the geometry of a rhombus-shaped flat torus and the positions of two singularities affect the critical points of a symmetrized Green function, and uses this t…
Green functions, Hitchin's formula and curvature equations on tori II: Rectangular torus
Zhijie Chen, Erjuan Fu, Chang-Shou Lin
Let be the Green function on the flat torus with the singularity at . Lin and Wang (Ann. Math. 2010) proved that has ei…
Green functions, Hitchin's formula and curvature equations on tori
Zhijie Chen, Erjuan Fu, Chang-Shou Lin
Let be the Green function on the flat torus with the singularity at . Lin and Wang (Ann. Math. 2010) proved that $G(z)…
Sovability of curvature equations with multiple singular sources on torus via Painleve VI equations
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
We study the curvature equation with multiple singular sources on a torus \[Îu+e^{u}=8Ï\sum_{k=0}^{3}n_{k}δ_{\frac{Ï_{k}}{2}}% +4Ï\left( δ_{p}+δ_{-p}\right) \quad \text{ on…