论文标题
在紧凑型赫尔米利亚歧管上的规定的Chern Chern标量曲率和负gauduchon学位
Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree
论文作者
论文摘要
在本文中，我们调查了针对厚实的毛ud虫学位的紧凑型隐居流形规定Chern标量曲线的问题。通过研究相关几何流的收敛性，当候选曲率函数非零且非阳性时，我们获得了一些存在结果。此外，我们还考虑了候选曲率函数正在改变签名并建立某些存在和不存在的结果的情况。
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.
