Prescribed Chern scalar curvatures on complete Hermitian manifolds
Weike Yu
TL;DR
This paper extends the existence results for prescribing Chern scalar curvatures from Poincaré disks to higher-dimensional complete noncompact Hermitian manifolds, broadening the scope of geometric analysis in complex geometry.
Contribution
It generalizes Aviles-McOwen's results to higher dimensions, providing new existence theorems for prescribed Chern scalar curvatures on complete Hermitian manifolds.
Findings
Extended existence results to higher dimensions
Generalized previous results from Poincaré disks
Established new conditions for prescribing Chern scalar curvature
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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