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.

GRIMALDI R, PANSU P (2007). Calibrations and isoperimetric profiles. AMERICAN JOURNAL OF MATHEMATICS, 129(2), 315-350.

Calibrations and isoperimetric profiles

GRIMALDI, Renata Carmela;
2007-01-01

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.
2007
GRIMALDI R, PANSU P (2007). Calibrations and isoperimetric profiles. AMERICAN JOURNAL OF MATHEMATICS, 129(2), 315-350.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/11656
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