G. Antonelli

activity

20192026

most citedAsymptotic isoperimetry on non collapsed spaces with lower Ricci bounds

32 citations · 130 across the 34 of their papers we have counts for

collaborators

38 papers

math.DG2026

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

Gioacchino Antonelli, Gábor Székelyhidi

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…

math.DG2026

Universal Volume Growth Bounds from Positive Intermediate Curvature

Gioacchino Antonelli

Let $n, m$ be integers such that $n \geq 2$ and $0 \leq m \leq n - 2$ . Let $C_{m + 1}$ denote the $(m + 1)$ -intermediate curvature introduced by Brendle--Hirsch--Johne. We prove that there ar…

math.MG2026

Planar lamplighter is not of negative type

Gioacchino Antonelli, Emanuele Caputo, Nicola Cavallucci +3

The lamplighter group over the planar integer grid is proved to not be bi-Lipschitz equivalent to any metric space of negative type, so in particular it does not admit a bi-Lipschi…

math.DG2026

Spaces of metrics with positive spectral scalar curvature

Gioacchino Antonelli, Georg Frenck, Bernhard Hanke

Let $n \geq 2$ and let $M^{n}$ be a closed connected smooth manifold. Let $R^{γ} (M)$ be the space of smooth Riemannian metrics $g$ on $M$ for which the generalized conformal Laplace oper…

math.MG2026

Area of Hölder curves and coarea formula on the Heisenberg group

Gioacchino Antonelli, Robert Young

We prove the coarea formula for Lipschitz maps from the subriemannian $n$ th Heisenberg group $H_{n}$ to $R^{2 n}$ . Our result is new even when $n = 1$ and provides the s…

math.DG2026

Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary

Gioacchino Antonelli, Yangyang Li, Paul Sweeney

We study Riemannian manifolds $(M^{n}, g)$ with mean-convex boundary whose Ricci curvature is nonnegative in a spectral sense. Our first main result is a sharp spectral extension of a…