Double bubbles in S^3 and H^3
Date
2008-11-20Author
Corneli, Joseph
Hoffman, Neil
Holt, Paul
Lee, George
Leger, Nicholas
Moseley, Stephen
Schoenfeld, Eric
Metadata
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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.
Citation
Corneli, J., Hoffman, N., Holt, P., Lee, G., Leger, N., Moseley, S., Schoenfeld, E. (2008). Double bubbles in S^3 and H^3.