Parabolic bundles and spherical metrics
Differential Geometry
2021-09-22 v1
Abstract
We use the Kobayashi-Hitchin correspondence for parabolic bundles to reprove the results of Troyanov and Luo-Tian regarding existence and uniqueness of conformal spherical metrics on the Riemann sphere with prescribed cone angles in the interval at a given configuration of three or more points.
Cite
@article{arxiv.2109.10250,
title = {Parabolic bundles and spherical metrics},
author = {Martin de Borbon and Dmitri Panov},
journal= {arXiv preprint arXiv:2109.10250},
year = {2021}
}
Comments
10 pages