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arXiv · 2506.14592

Prescribed Chern scalar curvatures on complete Hermitian manifolds

Weike Yu
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Abstract

In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results [J. Differential Geom., 21 (1985): 269-281] from Poincar\'e disks to higher dimensional Hermitian manifolds.

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Weike Yu. 2025-06-17. Prescribed Chern scalar curvatures on complete Hermitian manifolds. https://arxiv.org/abs/2506.14592

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