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

Antonio Cañete
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Abstract

In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel and with a horizontal symmetry. Some applications to isoperimetric problems are also given.

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Antonio Cañete. 2006-04-19. Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature. https://arxiv.org/abs/math/0604419

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