Double bubbles in $S^3$ and $H^3$
| dc.creator | Corneli, Joseph | |
| dc.creator | Hoffman, Neil | |
| dc.creator | Holt, Paul | |
| dc.creator | Lee, George | |
| dc.creator | Leger, Nicholas | |
| dc.creator | Moseley, Stephen | |
| dc.creator | Schoenfeld, Eric | |
| dc.date | 2008-11-20 | |
| dc.date | 2008-12-11 | |
| dc.date.accessioned | 2026-07-07T12:11:34Z | |
| dc.date.available | 2026-07-07T12:11:34Z | |
| dc.description | 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. | |
| dc.description | Version 1:52 pages (including 18 pages of unpublished computer code), 10 figures Version 2: Improved quality on all 10 figures | |
| dc.identifier | https://arxiv.org/abs/0811.3413 | |
| dc.identifier | http://arxiv.org/abs/0811.3413 | |
| dc.identifier | J. of Geom. Anal. 17 (2007) 189-212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210260 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42 | |
| dc.title | Double bubbles in $S^3$ and $H^3$ | |
| dc.type | text |