63 citations · 243 across the 10 of their papers we have counts for
9 papers · 1 filter
Kähler-Einstein metrics along the smooth continuity method
Ved Datar, Gábor Székelyhidi
We show that if a Fano manifold is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then admits a Kähler-Einstein metric.…
A remark on conical Kähler-Einstein metrics
Gábor Székelyhidi
We give some non-existence results for Kähler-Einstein metrics with conical singularities along a divisor on Fano manifolds. In particular we show that the maximal possible cone an…
Remark on the Calabi flow with bounded curvature
Gábor Székelyhidi
In this short note we prove that if the curvature tensor is uniformly bounded along the Calabi flow and the Mabuchi energy is proper, then the flow converges to a constant scalar c…
On the positive mass theorem for manifolds with corners
Donovan McFeron, Gábor Székelyhidi
We study the positive mass theorem for certain non-smooth metrics following P. Miao's work. Our approach is to smooth the metric using the Ricci flow. As well as improving some pre…
Greatest lower bounds on the Ricci curvature of Fano manifolds
Gábor Székelyhidi
On a Fano manifold M we study the supremum of the possible t such that there is a Kähler metric in c_1(M) with Ricci curvature bounded below by t. This is shown to be the same as t…
The Kahler-Ricci flow and K-stability
Gábor Székelyhidi
We consider the Kähler-Ricci flow on a Fano manifold. We show that if the curvature remains uniformly bounded along the flow, the Mabuchi energy is bounded below, and the manifold…