G. Antonelli

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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

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math.DG2025

Isoperimetric problems and lower bounds on curvature

Gioacchino Antonelli

This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at…

math.DG2025

Connected sum of manifolds with spectral Ricci lower bounds

Gioacchino Antonelli, Kai Xu

Let $n > 2$ , $γ > \frac{n - 1}{n - 2}$ , and $λ \in R$ . We prove that if $M$ and $N$ are two smooth $n$ -manifolds that admit a complete Riemannian metric satisfying \[-γΔ+ \mathr…