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20122021
most citedA discontinuous isoperimetric profile for a complete Riemannian manifold

7 citations · 8 across the 6 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

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…