English

Bergman-Einstein metric on a Stein space with a strongly pseudoconvex boundary

Complex Variables 2025-05-22 v1

Abstract

Let Ω\Omega be a Stein space with a compact smooth strongly pseudoconvex boundary. We prove that the boundary is spherical if its Bergman metric over Reg(Ω)\hbox{Reg}(\Omega) is K\"ahler-Einstein.

Keywords

Cite

@article{arxiv.2008.03645,
  title  = {Bergman-Einstein metric on a Stein space with a strongly pseudoconvex boundary},
  author = {Xiaojun Huang and Xiaoshan Li},
  journal= {arXiv preprint arXiv:2008.03645},
  year   = {2025}
}

Comments

21 pages, comments are welcome

R2 v1 2026-06-23T17:43:40.053Z