Minimally invasive surgery for Ricci flow singularities

作者:Angenent Sigurd B*; Caputo M Cristina; Knopf Dan
来源:Journal fur die Reine und Angewandte Mathematik, 2012, 672: 39-87.
DOI:10.1515/CRELLE.2011.168

摘要

In this paper, we construct smooth forward Ricci flow evolutions of singular initial metrics resulting from rotationally symmetric neckpinches on Ln+1, without performing an intervening surgery. In the restrictive context of rotational symmetry, this construction gives evidence in favor of Perelman's hope for a "canonically defined Ricci flow through singularities"..

  • 出版日期2012-11