论文标题
在紧凑的kähler歧管上退化的J-flow
Degenerate J-flow on compact Kähler manifolds
论文作者
论文摘要
在本说明中，我们研究了紧凑型kähler歧管上的退化扭曲的j-flow。我们证明它一直存在，它是独特的，并且会收敛于堕落的扭曲J-方程的弱解决方案。特别是，这证实了Song-Weinkove对J-Flow提出的期望。结果，我们建立了Mabuchi k-Energy的适当性，并由特定子键中Kähler类的某个半阳性闭合（1,1）扭曲。
In this note, we study a degenerate twisted J-flow on compact Kähler manifolds. We show that it exists for all time, it is unique and converges to a weak solution of a degenerate twisted J-equation. In particular, this confirms an expectation formulated by Song-Weinkove for the J-flow. As a consequence, we establish the properness of the Mabuchi K-energy twisted by a certain semi-positive closed (1,1)-form for Kähler classes in a certain subcone.
