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. / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20601 |
| Date | January 2016 |
| Creators | Chiu, Vincent |
| Contributors | Wang, Mckenzie, Mathematics and Statistics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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