Semianalyticity of isoperimetric profiles

Pierre Pansu (1) , Renata Grimaldi (2) , Stefano Nardulli (1, 2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 DMMM - Dipartimento di Metodi e Modelli Matematici

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

Mots clés: Isoperimetric inequality; Riemann surface; calibration; Morse theory

Domaines: Géométrie différentielle [math.DG]

Pierre Pansu, Renata Grimaldi, Stefano Nardulli. Semianalyticity of isoperimetric profiles. Differential Geometry and its Applications, 2009, 27 (3), pp.393-398. ⟨hal-00720209⟩