32 citations · 123 across the 21 of their papers we have counts for
3 papers · 1 filter
Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta +1
This paper studies sharp and rigid isoperimetric comparison theorems and asymptotic isoperimetric properties for small and large volumes on -dimensional spaces…
The metric measure boundary of spaces with Ricci curvature bounded below
Elia Bruè, Andrea Mondino, Daniele Semola
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure boundary is vanishing on any space without boundary. Our result…
Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta +1
This paper studies sharp isoperimetric comparison theorems and sharp dimensional concavity properties of the isoperimetric profile for non smooth spaces with lower Ricci curvature…