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arXiv · 1207.5616

Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

Renata Grimaldi·Stefano Nardulli·Pierre Pansu
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Abstract

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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Renata Grimaldi, Stefano Nardulli, Pierre Pansu. 2012-07-24. Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds. https://arxiv.org/abs/1207.5616

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