26 citations · 124 across the 45 of their papers we have counts for
Showing 2019 · math.DGShow all
3 papers · 2 filters
math.DG2019
The Gauss-Bonnet formula of a conical metric on a compact Riemann surface
Hanbing Fang, Bin Xu, Bairui Yang
We prove a generalization of the classical Gauss-Bonnet formula for a conical metric on a compact Riemann surface provided that the Gaussian curvature is Lebesgue integrable with r…
math.DG2019★ 2 cited
Spectral properties of reducible conical metrics
Bin Xu, Xuwen Zhu
We show that the monodromy of a spherical conical metric is reducible if and only if it has a real-valued eigenfunction with eigenvalue 2 in the holomorphic extension of the associ…
math.DG2019
Isolated singularities of flat metrics on Riemann surfaces
Jin Li, Bin Xu
Robert Bryant (Theorie des varietes minimales et applications, 1988, 154: 321-347) proved that an isolated singularity of a conformal metric of positive constant curvature on a Rie…