Semianalyticity of isoperimetric profiles
  It is shown that, in dimensions $<8$, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic. 
Pierre Pansu (LM-Orsay), Renata Grimaldi (DMMM), Stefano Nardulli   (LM-Orsay, DMMM)
math.DG