The double bubble problem in spherical and hyperbolic space
We prove that the standard double bubble is the least-area way to enclose and separate two regions of equal volume in ℍ3, and in S3 when the exterior is at least ten percent of S3.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202207188 |
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Article |
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doaj-c18daed34fc24e068dccf41b148cc96a2020-11-24T23:28:07ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01321164169910.1155/S0161171202207188The double bubble problem in spherical and hyperbolic spaceAndrew Cotton0David Freeman1Department of Mathematics, Harvard University, One Oxford Street, Cambridge, MA 02138, USADepartment of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UKWe prove that the standard double bubble is the least-area way to enclose and separate two regions of equal volume in ℍ3, and in S3 when the exterior is at least ten percent of S3.http://dx.doi.org/10.1155/S0161171202207188 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Andrew Cotton David Freeman |
| spellingShingle |
Andrew Cotton David Freeman The double bubble problem in spherical and hyperbolic space International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Andrew Cotton David Freeman |
| author_sort |
Andrew Cotton |
| title |
The double bubble problem in spherical and hyperbolic space |
| title_short |
The double bubble problem in spherical and hyperbolic space |
| title_full |
The double bubble problem in spherical and hyperbolic space |
| title_fullStr |
The double bubble problem in spherical and hyperbolic space |
| title_full_unstemmed |
The double bubble problem in spherical and hyperbolic space |
| title_sort |
double bubble problem in spherical and hyperbolic space |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
We prove that the standard double bubble is the least-area way to
enclose and separate two regions of equal volume in ℍ3, and in S3 when the exterior is at least ten percent of S3. |
| url |
http://dx.doi.org/10.1155/S0161171202207188 |
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