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arXiv · 2607.24444

On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points

Ravi Shankar Jaiswal
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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.

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Ravi Shankar Jaiswal. 2026-07-27. On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points. https://arxiv.org/abs/2607.24444

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