Prescribed Chern scalar curvatures on complete Hermitian manifolds
Differential Geometry
2026-05-19 v5
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.
Keywords
Cite
@article{arxiv.2506.14592,
title = {Prescribed Chern scalar curvatures on complete Hermitian manifolds},
author = {Weike Yu},
journal= {arXiv preprint arXiv:2506.14592},
year = {2026}
}
Comments
25 pages