On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points

Ravi Shankar Jaiswal

On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points

Complex Variables 2026-07-27 v1

Authors: Ravi Shankar Jaiswal

Abstract

We prove that the Bergman metric of a (possibly unbounded) pseudoconvex domain with an exponentially flat infinite type boundary point cannot be Einstein. Our result provides further evidence in support of the Cheng--Yau conjecture beyond the finite type setting.

Keywords

Bergman metric pseudoconvex domain exponentially flat infinite type boundary point Einstein metric Cheng-Yau conjecture

Cite

@article{arxiv.2607.24444,
  title  = {On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points},
  author = {Ravi Shankar Jaiswal},
  journal= {arXiv preprint arXiv:2607.24444},
  year   = {2026}
}

Comments

17 pages, comments welcome