Curvature bounds via Ricci smoothing

Vitali Kapovitch

doi:10.1215/ijm/1258138317

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Home > Journals > Illinois J. Math. > Volume 49 > Issue 1 > Article

Spring 2005 Curvature bounds via Ricci smoothing

Vitali Kapovitch

Illinois J. Math. 49(1): 259-263 (Spring 2005). DOI: 10.1215/ijm/1258138317

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Abstract

We give a proof of the fact that the upper and the lower sectional curvature bounds of a complete manifold vary at a bounded rate under the Ricci flow.