90 citations · 296 across the 14 of their papers we have counts for
21 papers · 1 filter
Uniqueness of certain cylindrical tangent cones
Gábor Székelyhidi
We show that the cylindrical tangent cone for an area-minimizing hypersurface is unique, where is the Simons cone . Previously Simon…
Twisted Kähler-Einstein metrics
Julius Ross, Gábor Székelyhidi
We prove an existence result for twisted Kähler-Einstein metrics, assuming an appropriate twisted K-stability condition. An improvement over earlier results is that certain non-neg…
Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below
Gang Liu, Gábor Székelyhidi
We show that non-collapsed Gromov-Hausdorff limits of polarized Kahler manifolds, with Ricci curvature bounded below, are normal projective varieties, and the metric singularities…
A Local Existence Result for Poincaré-Einstein metrics
Matthew J. Gursky, Gábor Székelyhidi
Given a closed Riemannian manifold of dimension , we prove the existence of a conformally compact Einstein metric defined on a collar neighborhood $M \…
Degenerations of and Calabi-Yau metrics
Gábor Székelyhidi
We construct infinitely many complete Calabi-Yau metrics on for , with maximal volume growth, and singular tangent cones at infinity. In addition we constr…
The Kähler-Ricci flow and optimal degenerations
Ruadhaí Dervan, Gábor Székelyhidi
We prove that on Fano manifolds, the Kähler-Ricci flow produces a "most destabilising" degeneration, with respect to a new stability notion related to the H-functional. This answer…