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Mixed Integral Norms for Ricci Flow
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2020-07-09 , DOI: 10.1007/s12220-020-00456-5 Gianmichele Di Matteo
中文翻译:
Ricci流的混合积分范数
更新日期:2020-07-09
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2020-07-09 , DOI: 10.1007/s12220-020-00456-5 Gianmichele Di Matteo
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。