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The double bubble conjecture


Authors: Joel Hass, Michael Hutchings and Roger Schlafly
Journal: Electron. Res. Announc. Amer. Math. Soc. 1 (1995), 98-102
MSC (1991): Primary 53A10, 49Q10, 49Q25
MathSciNet review: 1369639
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Abstract | References | Similar Articles | Additional Information

Abstract: The classical isoperimetric inequality states that the surface of smallest area enclosing a given volume in $R^3$ 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 $2 \pi / 3$.


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Additional Information

Joel Hass
Affiliation: Department of Mathematics, University of California, Davis, CA 95616
Email: hass@math.ucdavis.edu

Michael Hutchings
Affiliation: Department of Mathematics, Harvard University, Cambridge, MA 02138
Email: hutching@math.harvard.edu

Roger Schlafly
Affiliation: Real Software, PO Box 1680, Soquel, CA 95073
Email: rschlafly@attmail.com

DOI: http://dx.doi.org/10.1090/S1079-6762-95-03001-0
PII: S 1079-6762(95)03001-0
Keywords: Double bubble; isoperimetric
Received by editor(s): September 11, 1995
Additional Notes: Hass was partially supported by the NSF
Hutchings was supported by an NSF Graduate Fellowship.
Communicated by: Richard Schoen
Article copyright: © Copyright 1996 Hass, Hutchings, Schlafly