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 (Ph.D.) -- 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
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