Angenent, Sigurd B.; Caputo, M. Cristina; Knopf, Dan Minimally invasive surgery for Ricci flow singularities. (English) Zbl 1258.53066 J. Reine Angew. Math. 672, 39-87 (2012). This paper is motivated by Perelman’s construction of a Ricci flow with surgery for closed Riemannian 3-manifolds. It is hoped that one can flow directly from the singularity without having to perform a surgery that involves arbitrary choices of parameters. This hope is confirmed in the present paper in the case of rotationally symmetric neckpinches on the \(n\)-sphere. While the question of uniqueness is left open, it is proved that the resulting solution has unique asymptotic profile. Reviewer: Sylvain Maillot (Montpellier) Cited in 1 ReviewCited in 6 Documents MSC: 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) Keywords:Ricci flow; Ricci flow with surgery; neckpinch; weak solution PDFBibTeX XMLCite \textit{S. B. Angenent} et al., J. Reine Angew. Math. 672, 39--87 (2012; Zbl 1258.53066) Full Text: DOI arXiv