Curvature estimates for the Ricci flow I

Rugang Ye
April 2008
Calculus of Variations & Partial Differential Equations;Apr2008, Vol. 31 Issue 4, p417
Academic Journal
In this paper we present several curvature estimates for solutions of the Ricci flow and the modified Ricci flow (including the volume normalized Ricci flow and the normalized Kähler-Ricci flow), which depend on the smallness of certain local $$L^{\frac{n}{2}}$$ integrals of the norm of the Riemann curvature tensor | Rm|, where n denotes the dimension of themanifold. These local integrals are scaling invariant and very natural.


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