Prescribed Chern scalar curvatures on complete Hermitian manifolds
arXiv:2506.14592
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 Poincaré disks to higher dimensional Hermitian manifolds.
25 pages