Curvature estimates for the Ricci flow I |
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Authors: | Rugang Ye |
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Institution: | (1) Department of Mathematics, University of California, Santa Barbara, USA |
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Abstract: | 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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Keywords: | 53C20 53C21 |
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