TY - JOUR A1 - Enders, Jörg A1 - Müller, Reto A1 - Topping, Peter M. T1 - On Type-I singularities in Ricci flow JF - Communications in analysis and geometry N2 - 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 [15]. 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 [22]. Y1 - 2011 SN - 1019-8385 VL - 19 IS - 5 SP - 905 EP - 922 PB - International Press of Boston CY - Somerville ER - TY - JOUR A1 - Lohwaßer, Roswitha A1 - Bültel, Nadine A1 - Musil, Andreas A1 - Niendorf, Sebastian A1 - Drebenstedt, Anke A1 - Schramm, Satyam Antonio A1 - Etzold, Heiko A1 - Enders, Jörg A1 - Woehlecke, Sandra A1 - Hermanns, Jolanda T1 - Kentron : Journal zur Lehrerbildung = Den Ausbau gestalten T3 - Kentron : Journal zur Lehrerbildung - 34 Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-590412 SN - 1867-4720 SN - 1867-4747 IS - 34 PB - Univ. Potsdam, Zentrum für Lehrerbildung CY - Potsdam ER -