Calibrations and isoperimetric profiles

Details Calibrations and isoperimetric profiles Calibrations and isoperimetric profiles

2007-01-07

arxiv.org/abs/math/0701203v1

Mathematics

Differential Geometry

To appear soon in American Journal of Mathematics, a journal published by The Johns Hopkins University Press

Scientific paper

We equip many non compact non simply connected surfaces with smooth Riemannian metrics whose isoperimetric profile is smooth, a highly non generic 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.

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