32 citations · 130 across the 34 of their papers we have counts for
Showing 2023 · math.DGShow all
2 papers · 2 filters
math.DG2023★ 1 cited
Nonexistence of isoperimetric sets in spaces of positive curvature
Gioacchino Antonelli, Federico Glaudo
For every , we construct a noncompact smooth -dimensional Riemannian manifold with strictly positive sectional curvature without isoperimetric sets for any volume below…
math.DG2023★ 3 cited
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
Gioacchino Antonelli, Marco Pozzetta
In this paper we consider nonnegatively curved finite dimensional Alexandrov spaces with a non-collapsing condition, i.e., such that unit balls have volumes uniformly bounded from…