Curvature bounds via Ricci smoothing

2004/05/29 by Vitali Kapovitch, Kapovitch, Vitali · 1 citation
Mathematics · #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0405569

arxiv created 2004/05/29 · arxiv updated 2009/12/01

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.

Cited by

• Properties and examples of Kobayashi hyperbolic Riemannian manifolds

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