It is shown that, in dimensions $<8$, isoperimetric profiles of compact real
analytic Riemannian manifolds are semi-analytic.Comment: 9 page

Grimaldi, Renata

Nardulli, Stefano

Pansu, Pierre

English

arXiv

ABSTRACT: It is shown that, in dimensions &lt; 8, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic. RESUME ́ : On montre qu’en dimensions &lt; 8, le profil isopérimétrique d’une variéte ́ riemanni-enne compacte est semi-analytique. 

Renata Grimaldi

Stefano Nardulli

Pierre Pansu

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Semianalyticity of isoperimetric profiles

http://hal.inria.fr/docs/00/72/02/09/PDF/anpr.pdf

Semianalyticity of isoperimetric profiles

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