4 papers · 1 filter
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…
Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces
Zhiqiang Wei, Yingyi Wu
In \cite{WeiWu22-3} (J.Geom.Anal.32, 199(2022)), we classified HCMU surfaces in 3-dimensional Euclidean space as Weingarten surfaces by holomorphic functions. In this paper, using…
Constructing constant curvature metrics on Riemann surfaces with singularities
Zhiqiang Wei
By constructing an ODE through a kind of meromorphic 1-forms, we will give an explicit construction of a kind of conformal metrics of constant curvature on Riemann surfaces with si…
On isometric minimal immersion of a singular non-CSC extremal Khler metric into 3-dimensional space forms
Zhiqiang Wei, Yingyi Wu
On any compact Riemann surface there always exists a singular non-CSC (constant scalar curvature) extremal Khler metric which is called a non-CSC HCMU (the Hessian of the…