A numerical study of cohomogeneity one manifolds
| dc.contributor.advisor | Wang, Mckenzie | |
| dc.contributor.author | Chiu, Vincent | |
| dc.contributor.department | Mathematics and Statistics | en_US |
| dc.date.accessioned | 2016-10-05T18:40:04Z | |
| dc.date.available | 2016-10-05T18:40:04Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | This dissertation explores numerical solutions for the cohomogeneity one Einstein and Ricci soliton equations when the principal orbits are SU(3)/T^2 and Sp(3)/Sp(1)^3. We present new numerical evidence for steady, expanding solitons as well as Einstein metrics with positive scalar curvature. In the case of steady solitons we produced a one-parameter family of solutions. In the expanding case, we generated a two-parameter family of solutions and in particular in the negative Einstein case we generated a one-parameter family of solutions. In the compact Einstein case we found numerical evidence for an in nite number of Einstein metrics. | en_US |
| dc.description.degree | Master of Science (MSc) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/20601 | |
| dc.language.iso | en | en_US |
| dc.subject | Differential Geometry | en_US |
| dc.title | A numerical study of cohomogeneity one manifolds | en_US |
| dc.type | Thesis | en_US |