7 citations · 7 across the 4 of their papers we have counts for
4 papers
A discontinuous isoperimetric profile for a complete Riemannian manifold
Stefano Nardulli, Pierre Pansu
The first known example of a complete Riemannian manifold whose isoperimetric profile is discontinuous is given.
Generalized compactness for finite perimeter sets and applications to the isoperimetric problem
Abraham Enrique Muñoz Flores, Stefano Nardulli
For a complete noncompact connected Riemannian manifold with bounded geometry, we prove a compactness result for sequences of finite perimeter sets with uniformly bounded volume an…
Semianalyticity of isoperimetric profiles
Pierre Pansu, Renata Grimaldi, Stefano Nardulli
It is shown that, in dimensions , isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.
Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds
Renata Grimaldi, Stefano Nardulli, Pierre Pansu
We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumption, this can happen only on topological sp…