On the blow-up of four-dimensional Ricci flow singularities

Autor:	Davi Maximo
Rok vydání:	2012
Předmět:	Pure mathematics Conjecture Closed manifold Applied Mathematics General Mathematics Ricci flow Uniform limit theorem Mathematics::Algebraic Geometry Singularity Line bundle Gravitational singularity Mathematics::Differential Geometry Ricci curvature Mathematics
Zdroj:	Journal für die reine und angewandte Mathematik (Crelles Journal). 2014:153-171
ISSN:	1435-5345 0075-4102
DOI:	10.1515/crelle-2012-0080
Popis:	In this paper we prove a conjecture by Feldman–Ilmanen–Knopf (2003) that the gradient shrinking soliton metric they constructed on the tautological line bundle over ℂℙ 1 $\mathbb {CP}^1$ is the uniform limit of blow-ups of a type I Ricci flow singularity on a closed manifold. We use this result to show that limits of blow-ups of Ricci flow singularities on closed four-dimensional manifolds do not necessarily have non-negative Ricci curvature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4bbdf3083e79a595a407b0cc318623da https://doi.org/10.1515/crelle-2012-0080 Zobrazit plný text záznamu