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The double bubble conjecture
Author(s):
Joel
Hass;
Michael
Hutchings;
Roger
Schlafly
Journal:
Electron. Res. Announc. Amer. Math. Soc.
1
(1995),
98-102.
MSC (1991):
Primary 53A10, 49Q10, 49Q25
Comment(s):
Additional information about this paper
MathSciNet review:
1369639
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Abstract:
The classical isoperimetric inequality states that the surface of smallest area enclosing a given volume in  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  .
References:
- 1
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 uniquely minimizes perimeter, Pac. J. Math. 159, 47-59 (1993). MR 94b:53019 - 2
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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:
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
Copyright of article:
Copyright
1996,
Hass, Hutchings, Schlafly
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