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http://hdl.handle.net/11375/20601
Title: | A numerical study of cohomogeneity one manifolds |
Authors: | Chiu, Vincent |
Advisor: | Wang, Mckenzie |
Department: | Mathematics and Statistics |
Keywords: | Differential Geometry |
Publication Date: | 2016 |
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. |
URI: | http://hdl.handle.net/11375/20601 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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chiu_vincent_finalsubmission201609r_MSc.pdf | 1.46 MB | Adobe PDF | View/Open |
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