Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

LM-Orsay); Pierre Pansu (LM-Orsay); Renata Grimaldi (DMMM); Stefano Nardulli (DMMM

arxiv: 1207.5616 · v1 · pith:U6HLJ3SNnew · submitted 2012-07-24 · 🧮 math.DG

Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

Renata Grimaldi (DMMM) , Stefano Nardulli (DMMM , LM-Orsay) , Pierre Pansu (LM-Orsay) This is my paper

classification 🧮 math.DG

keywords analyticisoperimetricmanifoldsriemannianassumptiondifferentiabilityexceptionalextra

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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 spheres.

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Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

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