Abstract: We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumptions, this can happen only on topological spheres
Grimaldi, R., Nardulli, S., Pansu, P. (2009). Differentiability properties of the isoperimetric profile and topology of analytic Riemannian manifolds. COMPTES RENDUS MATHÉMATIQUE, 2009, 293-297.
Differentiability properties of the isoperimetric profile and topology of analytic Riemannian manifolds.
GRIMALDI, Renata Carmela;NARDULLI, Stefano;
2009-01-01
Abstract
Abstract: We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumptions, this can happen only on topological spheres
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