论文标题
遗传学指标的变形
Deformation of Hermitian metrics
论文作者
论文摘要
在这项工作中,我们研究了Chern Connection的Hermitian指标的变形。通过适应Aubin和Ehrlich的共形扰动方法,我们证明具有准阳性(分别为准阴性)第二Chern-Ricci曲率的遗传学指标可以变形为具有阳性(分别为负)曲线的一个曲率。
In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove that Hermitian metrics with quasi-positive (resp. quasi-negative) second Chern-Ricci curvature can be deformed to one with positive (resp. negative) curvature.