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arXiv · 1805.11215

A Liouville theorem on complete non-K\"ahler manifolds

Yuang Li·Chuanjing Zhang·Xi Zhang
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Abstract

In this paper, we prove a Liouville theorem for holomorphic functions on a class of complete Gauduchon manifolds. This generalizes a result of Yau for complete K\"ahler manifolds to the complete non-K\"ahler case.

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Yuang Li, Chuanjing Zhang, Xi Zhang. 2018-05-29. A Liouville theorem on complete non-K\"ahler manifolds. https://arxiv.org/abs/1805.11215

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