3 papers
math.DG2026
Regularity of Einstein 5-manifolds via 4-dimensional gap theorems
Yiqi Huang, Tristan Ozuch
We refine the regularity of noncollapsed limits of 5-dimensional manifolds with bounded Ricci curvature. In particular, for noncollapsed limits of Einstein 5-manifolds, we prove th…
math.DG2026
Desingularizations of Conformally Kaehler, Einstein Orbifolds
Claude LeBrun, Tristan Ozuch
Let {(M,g_i)} be a sequence of smooth compact oriented Einstein 4-manifolds of fixed Einstein constant that Gromov-Hausdorff converges to a 4-dimensional Einstein orbifold…
math.DG2025
Instability of conformally Kähler, Einstein metrics
Olivier Biquard, Tristan Ozuch
We prove the instability of conformally Kähler, compact or ALF Einstein 4-manifolds with nonnegative scalar curvature which are not half conformally flat. This applies to all the…