Double bubbles minimize

• 成果类型: Article
• 署名作者: Hass, J; Schlafly, R
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121042
• 发表日期: 2000
• 页码: 459-515
• 关键词: constant mean-curvature; soap bubbles; SURFACES; STABILITY; films

摘要

The classical isoperimetric inequality in R-3 states that the surface of smallest area enclosing a given volume is a sphere. We show that the least area surface enclosing two equal volumes is a double bubble, a surface made of two pieces of round spheres separated by a flat disk, meeting along a single circle at an angle of 120 degrees.