论文标题
关于异常流的稳定性
On the stability of the anomaly flow
论文作者
论文摘要
我们证明,Phong,Picard和Zhang在“与Kähler固定点的共同平衡指标流”中引入的共同平衡指标的抛物线流量在Calabi-yau指标周围是稳定的。结果表明,即使初始度量不是合成的kähler,该流量也可以在Kähler歧管上收敛。
We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with Kähler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can converge on a Kähler manifold even if the initial metric is not conformally Kähler.