English

On the Kahler-Einstein metric at strictly pseudoconvex points

Differential Geometry 2018-07-26 v2 Complex Variables

Abstract

We prove a local boundary regularity result for the complete Kahler-Einstein metrics of negative Ricci curvature near strictly pseudoconvex boundary point. We also study the asymptotic behaviour of their holomorphic bisectional curvatures near such points.

Keywords

Cite

@article{arxiv.1801.01857,
  title  = {On the Kahler-Einstein metric at strictly pseudoconvex points},
  author = {Sebastien Gontard},
  journal= {arXiv preprint arXiv:1801.01857},
  year   = {2018}
}
R2 v1 2026-06-22T23:37:40.161Z