论文标题
RICCI流的混合积分规范
Mixed Integral Norms for Ricci Flow
论文作者
论文摘要
我们证明,假设曲率张量的合适时空积分规范的界限,RICCI流无法发展有限的时间奇点。此外,在RICCI下限和标量曲率的时空积分规范的界面下证明了流动的可扩展性。
We prove that a Ricci flow cannot develop a finite time singularity assuming the boundedness of a suitable space-time integral norm of the curvature tensor. Moreover, the extensibility of the flow is proved under a Ricci lower bound and the boundedness of a space-time integral norm of the scalar curvature.