English

Metrics of constant positive curvature with conic singularities. A survey

Differential Geometry 2021-03-25 v1 Classical Analysis and ODEs Complex Variables

Abstract

We consider conformal metrics of constant curvature 1 on a Riemann surface, with finitely many prescribed conic singularities and prescribed angles at these singularities. Especially interesting case which was studied by C. L. Chai, C. S Lin and C. L. Wang is described in some detail, with simplified proofs.

Keywords

Cite

@article{arxiv.2103.13364,
  title  = {Metrics of constant positive curvature with conic singularities. A survey},
  author = {Alexandre Eremenko},
  journal= {arXiv preprint arXiv:2103.13364},
  year   = {2021}
}

Comments

19 p