Calibrations and isoperimetric profiles

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7 Citazioni (Scopus)

Abstract

We equip many noncompact nonsimply connected surfaces with smooth Riemannian metrics whose isoperimetric profile is smooth, a highly nongeneric property. The computation of the profile is based on a calibration argument, a rearrangement argument, the Bol-Fiala curvature dependent inequality, together with new results on the profile of surfaces of revolution and some hardware know-how.
Lingua originaleEnglish
pagine (da-a)315-350
Numero di pagine36
RivistaAmerican Journal of Mathematics
Volume129
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

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