Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree
Differential Geometry
2023-04-19 v1
Abstract
In this paper, we investigate the problem of prescribing Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree. By studying the convergence of the associated geometric flow, we obtain some existence results when the candidate curvature function is nonzero and nonpositive. Furthermore, we also consider the case that the candidate curvature function is sign-changing, and establish some existence and nonexistence results.
Keywords
Cite
@article{arxiv.2208.08691,
title = {Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree},
author = {Weike Yu},
journal= {arXiv preprint arXiv:2208.08691},
year = {2023}
}
Comments
21 pages