Communications in Analysis and Geometry

Volume 13 (2005)

Number 5

Diameter control under Ricci flow

Pages: 1039 – 1055

DOI: http://dx.doi.org/10.4310/CAG.2005.v13.n5.a9

Author

Peter Topping

Abstract

We estimate the diameter of a closed manifold evolving under Ricci flow in terms of a scalar curvature integral. The proof uses a new maximal function and extends some of Perelman's recent ideas.

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