Communications in Analysis and Geometry

Volume 16 (2008)

Number 3

The existence of Type II singularities for the Ricci flow on Sn+1

Pages: 467 – 494

DOI: https://dx.doi.org/10.4310/CAG.2008.v16.n3.a1

Authors

Hui-Ling Gu

Xi-Ping Zhu

Abstract

In this paper, we prove the existence of Type II singularities for the Ricci flow on Sn+1 for all n ≥ 2. This also gives an affirmative answer to the degenerate neckpinch conjecture of Hamilton.

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Published 1 January 2008