90 citations · 296 across the 14 of their papers we have counts for
24 papers
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…
Weak Harnack inequalities for eigenvalues and constant rank theorems
Gábor Székelyhidi, Ben Weinkove
We consider convex solutions of nonlinear elliptic equations which satisfy the structure condition of Bian-Guan. We prove a weak Harnack inequality for the eigenvalues of the Hessi…
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…