Title: Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature

Authors: Antonio Canete

Issue: Volume 56 (2007), Issue 4, 1629-1659

Abstract: In this work we classify the stable regions (second order minima of perimeter under an area constraint) in symmetric tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel. For narrow standard tori of revolution, isoperimetric regions are disks, vertical annuli, or complements.