Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

J. Enders - R. Buzano - P. Topping

On Type I Singularities in Ricci flow

created by muller on 12 Jun 2018

[BibTeX]

preprint

Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2010

ArXiv: 1005.1624 PDF
Notes:

Note name change of one author from Reto Müller to Reto Buzano in 2015. Please cite as Enders-Müller-Topping. Name changed here in order to import to author page correctly.


Abstract:

We define several notions of singular set for Type I Ricci flows and show that they all coincide. In order to do this, we prove that blow-ups around singular points converge to nontrivial gradient shrinking solitons, thus extending work of Naber. As a by-product we conclude that the volume of a finite-volume singular set vanishes at the singular time. We also define a notion of density for Type I Ricci flows and use it to prove a regularity theorem reminiscent of White's partial regularity result for mean curvature flow.

Credits | Cookie policy | HTML 5 | CSS 2.1