Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/131752
Type: | Thesis |
Title: | Conformal group actions on Cahen-Wallach spaces |
Author: | Teisseire, Stuart Benjamin |
Issue Date: | 2021 |
School/Discipline: | School of Mathematical Sciences |
Abstract: | This thesis explores the conformal structure of Cahen-Wallach spaces, and the potential construction of compact conformal quotients of Cahen-Wallach spaces. Along the way, we prove novel results about cocompact group actions, and essential homotheties. We show that any cocompact, properly discontinuous, conformal action on a Cahen-Wallach space of imaginary type must be isometric. And we demonstrate that no cocompact, properly discontinuous, conformal action on a Cahen-Wallach space can centralize an essential transformation. These results are relevant in the study of the compact Lorentzian Lichnerowicz conjecture, as they limit possible counterexamples. |
Advisor: | Leistner, Thomas Eastwood, Michael |
Dissertation Note: | Thesis (MPhil) -- University of Adelaide, School of Mathematical Sciences, 2021 |
Keywords: | Conformal conformal geometry group action Cahen-Wallach space |
Provenance: | This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals |
Appears in Collections: | Research Theses |
Files in This Item:
File | Description | Size | Format | |
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Teisseire2021_MPhil.pdf | 1.03 MB | Adobe PDF | View/Open |
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