International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 11, Pages 641-699
doi: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 02138, MA, USA
2Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK
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.