Double bubbles in $S^3$ and $H^3$

Details Double bubbles in $S^3$ and $H^3$ Double bubbles in $S^3$ and $H^3$

2008-11-20

arxiv.org/abs/0811.3413v2

J. of Geom. Anal. 17 (2007) 189-212

Mathematics

Differential Geometry

Version 1:52 pages (including 18 pages of unpublished computer code), 10 figures Version 2: Improved quality on all 10 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Double bubbles in $S^3$ and $H^3$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Double bubbles in $S^3$ and $H^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double bubbles in $S^3$ and $H^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162415