Curvature estimates for the Ricci flow I
Copyright policy )Curvature estimates for the Ricci flow I
In this paper we present several curvature estimates and convergence results for solutions of the Ricci flow. The curvature estimates depend on smallness of certain local space-time integrals of the norm of the Riemann curvature tensor, while the convergence results require finiteness of space-time integrals of the norm of the Riemann curvature tensor. They also serve as characterizations of blow-up singularities.
20 pages
- University of California, Santa Barbara United States
- Department of Mathematics
- University of California, San Francisco United States
- University of California System United States
Mathematics - Differential Geometry, \(L^{\frac{n}{2}}\) integrals, 53C20 (Primary), 53C21 (Secondary), Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Global Riemannian geometry, including pinching, curvature estimates, Kähler-Ricci flow, Differential Geometry (math.DG), 53C20 (Primary), 52C21 (Secondary), Ricci flow, FOS: Mathematics, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Mathematics - Differential Geometry, \(L^{\frac{n}{2}}\) integrals, 53C20 (Primary), 53C21 (Secondary), Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Global Riemannian geometry, including pinching, curvature estimates, Kähler-Ricci flow, Differential Geometry (math.DG), 53C20 (Primary), 52C21 (Secondary), Ricci flow, FOS: Mathematics, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
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