Electronic Research Announcements

Author(s): Michael Hutchings; Frank Morgan; Manuel Ritoré; Antonio Ros
Journal: Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 45-49.
MSC (2000): Primary 53A10; Secondary 53C42
Posted: July 17, 2000
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We prove that the standard double bubble provides the least-area way to enclose and separate two regions of prescribed volume in ${\mathbb R}^3$ .

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Retrieve articles in Electronic Research Announcements with MSC (2000): 53A10, 53C42

Michael Hutchings
Affiliation: Department of Mathematics, Stanford University, Stanford, CA 94305
Email: hutching@math.stanford.edu

Frank Morgan
Affiliation: Department of Mathematics, Williams College, Williamstown, MA 01267
Email: Frank.Morgan@williams.edu

Manuel Ritoré
Affiliation: Departamento de Geometría y Topología, Universidad de Granada, E-18071 Granada, España
Email: ritore@ugr.es

Antonio Ros
Affiliation: Departamento de Geometría y Topología, Universidad de Granada, E-18071 Granada, España
Email: aros@ugr.es

DOI: 10.1090/S1079-6762-00-00079-2
PII: S 1079-6762(00)00079-2
Keywords: Double bubble, soap bubbles, isoperimetric problems, stability
Received by editor(s): March 3, 2000
Posted: July 17, 2000
Communicated by: Richard Schoen
Copyright of article: Copyright 2000, Michael Hutchings, Frank Morgan, Manuel Ritoré, and Antonio Ros

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