International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences / 2002 / Article

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Volume 32 |Article ID 189517 | 59 pages | https://doi.org/10.1155/S0161171202207188

The double bubble problem in spherical and hyperbolic space

Andrew Cotton1 and David Freeman2

1Department of Mathematics, Harvard University, One Oxford Street, Cambridge, MA 02138, USA

2Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK

Received28 Jul 2002

Abstract

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.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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