English

Bergman metric on the symmetrized bidisc and its consequences

Differential Geometry 2022-04-26 v3 Complex Variables

Abstract

On the symmetrized bidisc G2 with the Bergman metric, the holomorphic sectional curvature is negatively pinched and the holomorphic bisectional curvature is not. The consequences in invariant metrics are provided.

Keywords

Cite

@article{arxiv.2004.04637,
  title  = {Bergman metric on the symmetrized bidisc and its consequences},
  author = {Gunhee Cho and Yuan Yuan},
  journal= {arXiv preprint arXiv:2004.04637},
  year   = {2022}
}

Comments

To apper in Intenational Journal of Mathematics