%0 Journal Article
%T Double bubbles in $S^3$ and $H^3$
%A Joseph Corneli
%A Neil Hoffman
%A Paul Holt
%A George Lee
%A Nicholas Leger
%A Stephen Moseley
%A Eric Schoenfeld
%J Mathematics
%D 2008
%I arXiv
%X We prove the double bubble conjecture in the three-sphere $S^3$ and hyperbolic three-space $H^3$ in the cases where we can apply Hutchings theory: 1) in $S^3$, each enclosed volume and the complement occupy at least 10% of the volume of $S^3$; 2) in $H^3$, the smaller volume is at least 85% that of the larger. A balancing argument and asymptotic analysis reduce the problem in $S^3$ and $H^3$ to some computer checking. The computer analysis has been designed and fully implemented for both spaces.
%U http://arxiv.org/abs/0811.3413v2