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hal-00720209, version 1

Semianalyticity of isoperimetric profiles

Pierre Pansu (, http://www.math.u-psud.fr/~pansu) 1, Renata Grimaldi () 2, Stefano Nardulli () 12

Differential Geometry and its Applications 27, 3 (2009) 393-398

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

  • 1:  Laboratoire de Mathématiques d'Orsay (LM-Orsay)
  • CNRS : UMR8628 – Université Paris XI - Paris Sud
  • 2:  Dipartimento di Metodi e Modelli Matematici (DMMM)
  • Università degli studi di Palermo
  • Domain : Mathematics/Differential Geometry
  • Keywords : Isoperimetric inequality – Riemann surface – calibration – Morse theory
  • Comment : 9 pages
 
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  • Submitted on: Tuesday, 24 July 2012 09:38:06
  • Updated on: Tuesday, 24 July 2012 10:36:19