Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature
Antonio Canete
49Q2049Q10stabilityisoperimetric problem
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.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.3003
10.1512/iumj.2007.56.3003
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Indiana Univ. Math. J. 56 (2007) 1629 - 1659
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