6533b859fe1ef96bd12b8714

RESEARCH PRODUCT

Calibrations and isoperimetric profiles

Renata Carmela GrimaldiPansu P.

subject

Calibration Riemann manifold Critical points Surfaces of revolution Radius of curvature Mathematical surfaces Mathematical constants DuetsSettore MAT/03 - Geometria

description

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.

yearjournalcountryeditionlanguage
2007-01-01
http://hdl.handle.net/10447/11656