Calibrations and isoperimetric profiles

Renata Grimaldi; Pierre Pansu

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arXiv · math/0701203

Calibrations and isoperimetric profiles

Renata Grimaldi·Pierre Pansu

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Abstract

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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BibTeX RIS

Renata Grimaldi, Pierre Pansu. 2007-01-07. Calibrations and isoperimetric profiles. https://arxiv.org/abs/math/0701203

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