| dc.contributor.author | Corneli, Joseph | |
| dc.contributor.author | Hoffman, Neil | |
| dc.contributor.author | Holt, Paul | |
| dc.contributor.author | Lee, George | |
| dc.contributor.author | Leger, Nicholas | |
| dc.contributor.author | Moseley, Stephen | |
| dc.contributor.author | Schoenfeld, Eric | |
| dc.date.accessioned | 2022-11-07T14:29:29Z | |
| dc.date.available | 2022-11-07T14:29:29Z | |
| dc.date.issued | 2008-11-20 | |
| dc.identifier.citation | Corneli, J., Hoffman, N., Holt, P., Lee, G., Leger, N., Moseley, S., Schoenfeld, E. (2008). Double bubbles in S^3 and H^3. | |
| dc.identifier.uri | https://hdl.handle.net/11244/336591 | |
| dc.description.abstract | We prove the double bubble conjecture in the three-sphere S3 and hyperbolic three-space H3 in the cases where we can apply Hutchings theory: 1) in S3, each enclosed volume and the complement occupy at least 10% of the volume of S3; 2) in H3, the smaller volume is at least 85% that of the larger. A balancing argument and asymptotic analysis reduce the problem in S3 and H3 to some computer checking. The computer analysis has been designed and fully implemented for both spaces. | |
| dc.format | application/pdf | |
| dc.relation.uri | http://arxiv.org/abs/0811.3413v2 | |
| dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
| dc.title | Double bubbles in S^3 and H^3 | |
| dc.date.updated | 2022-10-26T21:06:07Z | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | math.DG: Differential Geometry | |
| dc.subject.keywords | 53C42: Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) | |
| dc.identifier.author | ORCID: 0000-0003-0662-3244 (Hoffman, Neil) | |
| dc.identifier.author | ScopusID: 16642919400 (Hoffman, Neil) | |
