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math.DG2015★ 7 cited
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.
math.DG2012
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.
math.DG2012
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…