Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2008 · 13 citations · 6 references
Natural SciencesAnatomyGeometryGauss's LawIsoperimetric Problems
In this work we describe the isoperimetric regions in complete symmetric annuli of revolution with Gauss curvature non-decreasing from the shortest parallel. This description allows us to complete the classification of isoperimetric regions in quadrics of revolution.
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Soap bubbles in ℝ<sup>2</sup>and in surfaces
Frank Morgan · Pacific Journal of Mathematics · 1994 · 69 citations · Full text
The isoperimetric inequality on a surface
Peter M. Topping · manuscripta mathematica · 1999 · 31 citations