论文标题

RICCI流的混合积分规范

Mixed Integral Norms for Ricci Flow

论文作者

Di Matteo, Gianmichele

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.

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