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arXiv · 2404.18792

Bergman local isometries are biholomorphisms

Jihun Yum
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Abstract

We prove that a proper holomorphic local isometry between bounded domains with respect to the Bergman metrics is necessarily a biholomorphism. The proof relies on a new method grounded in Information Geometry theories.

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Jihun Yum. 2024-04-29. Bergman local isometries are biholomorphisms. https://arxiv.org/abs/2404.18792

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