Concepedia

The Isoperimetric Problem on Surfaces

Hugh Howards, Michael Hutchings, Frank Morgan

American Mathematical Monthly · 1999 · 72 citations · 12 references

DOI

Concepts

Abstract

(1999). The Isoperimetric Problem on Surfaces. The American Mathematical Monthly: Vol. 106, No. 5, pp. 430-439.

References

12

The isoperimetric inequality

Robert Osserman · Bulletin of the American Mathematical Society · 1978 · 882 citations · Full text

Soap bubbles in ℝ<sup>2</sup>and in surfaces

Frank Morgan · Pacific Journal of Mathematics · 1994 · 69 citations · Full text

, , +3

Double Bubbles Minimize

Joel Hass, Roger Schlafly · Annals of Mathematics · 2000 · 62 citations · Full text

, , +8

The isoperimetric problem on surfaces of revolution of decreasing Gauss curvature

Frank Morgan, Michael Hutchings, Hugh Howards · Transactions of the American Mathematical Society · 2000 · 55 citations · Full text

, , +4

Clusters minimizing area plus length of singular curves

Frank Morgan · Mathematische Annalen · 1994 · 54 citations

, , +6