# 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} }

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

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