32 citations · 126 across the 14 of their papers we have counts for
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math.DG2023★ 1 cited
Isoperimetry on manifolds with Ricci bounded below: overview of recent results and methods
Marco Pozzetta
We review recent results on the study of the isoperimetric problem on Riemannian manifolds with Ricci lower bounds. We focus on the validity of sharp second order differential ineq…
math.MG2023★ 7 cited
Topological regularity of isoperimetric sets in PI spaces having a deformation property
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta +1
We prove topological regularity results for isoperimetric sets in PI spaces having a suitable deformation property, which prescribes a control on the increment of the perimeter of…
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…