Gabor Szekelyhidi

Removability of non-isolated singularities for Einstein metrics and RCD spaces

In this paper we establish removable singularities results for Einstein metrics and for metrics with Ricci curvature bounded below. Let $n\geq 2$. On a closed $n$-manifold, we show that an $L^\infty$-Riemannian metric whose Ricci curvature is bounded below outside a singular set of codimension $>3- \frac{1}{n-1}$ canon...