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The double bubble problem in spherical and hyperbolic space

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  • Andrew Cotton
  • David Freeman

Abstract

We prove that the standard double bubble is the least-area way to enclose and separate two regions of equal volume in ℍ 3 , and in S 3 when the exterior is at least ten percent of S 3 .

Suggested Citation

  • Andrew Cotton & David Freeman, 2002. "The double bubble problem in spherical and hyperbolic space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 32, pages 1-59, January.
    • Handle: RePEc:hin:jijmms:189517
    DOI: 10.1155/S0161171202207188
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