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.

中文翻译：

---

Ricci流的混合积分范数

我们证明，假设曲率张量的适当时空积分范数的有界性，Ricci流就不能发展出有限的时间奇异性。此外，在Ricci下界和标量曲率的时空积分范数的有界性下证明了流的可扩展性。