Symmetry classifications on a curved geometry
| dc.contributor.author | Mathebula, Agreement | |
| dc.date.accessioned | 2021-04-26T12:17:49Z | |
| dc.date.available | 2021-04-26T12:17:49Z | |
| dc.date.issued | 2020 | |
| dc.description | A thesis submitted to the Faculty of Science, University of the Witwatersrand, in requirement for the degree Doctor of Philosophy, 2020 | en_ZA |
| dc.description.abstract | In this thesis, we consider one-parameter point transformations that leave a differential equation invariant. In particular, we show that Noether symmetry classifications of any diagonal metric may be simplified by geometric criteria. We describe the Klein-Gordon equation for some general spaces and deal with the corresponding Killing algebra. Moreover, our investigation consists of several metrics, their Lie algebras, the point generators of the Klein-Gordon equation and their associated potential functions. Finally, we study a class of ecological diffusive equations and determine higher-order symmetries of non-linear diffusion equations | en_ZA |
| dc.description.librarian | CK2021 | en_ZA |
| dc.faculty | Faculty of Science | en_ZA |
| dc.format.extent | Online resource (95 pages) | |
| dc.identifier.citation | Mathebula, Agreement (2020) Symmetry classifications on a curved geometry, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/31005> | |
| dc.identifier.uri | https://hdl.handle.net/10539/31005 | |
| dc.language.iso | en | en_ZA |
| dc.phd.title | PhD | en_ZA |
| dc.school | School of Mathematics | en_ZA |
| dc.subject.lcsh | Symmetry (Mathematics) | |
| dc.subject.lcsh | Geometry | |
| dc.title | Symmetry classifications on a curved geometry | en_ZA |
| dc.type | Thesis | en_ZA |