• DOI:10.4310/CAG.2011.v19.n5.a4
Corpus ID: 968534

On type-I singularities in Ricci flow

@article{Enders2011OnTS,
  title={On type-I singularities in Ricci flow},
  author={J. Enders and R. Muller and P. Topping},
  journal={Communications in Analysis and Geometry},
  year={2011},
  volume={19},
  pages={905-922}
}

• J. Enders, R. Muller, P. Topping
• Published 2011
• Mathematics
• Communications in Analysis and Geometry

We dene several notions of singular set for Type I Ricci ows 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 [15]. As a byproduct we conclude that the volume of a nite-volume singular set vanishes at the singular time. We also dene a notion of density for Type I Ricci ows and use it to prove a regularity theorem reminiscent of White’s partial regularity result for… Expand