Federico Glaudo

most citedNonexistence of isoperimetric sets in spaces of positive curvature

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2023★ 1 cited

Nonexistence of isoperimetric sets in spaces of positive curvature

Gioacchino Antonelli, Federico Glaudo

For every $d \geq 3$ , we construct a noncompact smooth $d$ -dimensional Riemannian manifold with strictly positive sectional curvature without isoperimetric sets for any volume below…

math.MG2023

On the Isoperimetric Profile of the Hypercube

Federico Glaudo

We prove that a subset of the hypercube $(0, 1)^{d}$ with volume sufficiently close to $\frac{1}{2}$ has (relative) perimeter greater than or equal to $1$ . This settles a conjecture by Br…