The double bubble problem in spherical and hyperbolic space-Reference-Cited by-同舟云学术

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The double bubble problem in spherical and hyperbolic space

Published:2002 Issue:11 Volume:32 Page:641-699
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Cotton Andrew¹,Freeman David²

Affiliation:

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

2. Department 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 inℍ3, and inS3when the exterior is at least ten percent ofS3.

Funder

Williams College

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2002/189517.pdf

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