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arXiv · 2505.15780

A Hermitian metric on hyperbolic complex manifolds

Debraj Chakrabarti·Prachi Mahajan
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Abstract

We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant. This method is distinct from the classical construction of Wu, and yields a metric which is expected to have superior regularity properties.

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Debraj Chakrabarti, Prachi Mahajan. 2025-05-21. A Hermitian metric on hyperbolic complex manifolds. https://arxiv.org/abs/2505.15780

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