7 citations · 10 across the 5 of their papers we have counts for
7 papers
Generic mean curvature flow has finitely many singularities
J. M. Daniels-Holgate, Or Hershkovits, Gábor Székelyhidi
We show that for a generic compact initial surface in , and any generic compact initial mean convex hypersurface in higher dimensions, the mean curvature flow encount…
Mean convex flows with surgery
Gábor Székelyhidi
We construct a mean curvature flow with surgery starting with any compact mean convex hypersurface in , extending previous results of Huisken-Sinestrari, Brendle-…
A Liouville-type theorem for cylindrical cones
Nick Edelen, Gábor Székelyhidi
Suppose that is a smooth strictly minimizing and strictly stable minimal hypercone, , and a complete embedded minimal hypers…
Neck pinches along the Lagrangian mean curvature flow of surfaces
Jason D. Lotay, Felix Schulze, Gábor Székelyhidi
Let be a zero Maslov, rational Lagrangian mean curvature flow in a compact Calabi-Yau surface, and suppose that at the first singular time a tangent flow is given by the stat…
Ancient solutions and translators of Lagrangian mean curvature flow
Jason D. Lotay, Felix Schulze, Gábor Székelyhidi
Suppose that is an almost calibrated, exact, ancient solution of Lagrangian mean curvature flow in . We show that if has a blow-down given…
Higher regularity for singular Kähler-Einstein metrics
Shih-Kai Chiu, Gábor Székelyhidi
We study singular Kähler-Einstein metrics that are obtained as non-collapsed limits of polarized Kähler-Einstein manifolds. Our main result is that if the metric tangent cone at a…
Minimal hypersurfaces with cylindrical tangent cones
Gábor Székelyhidi
First we construct minimal hypersurfaces in a neighborhood of the origin, with an isolated singularity but cylindrical tangent cone ,…