| Author(s) |
Ganjiarjenaki, Masoud
Schmalz, Gerd
Harris, Adam
|
| Publication Date |
2019-02-11
|
| Abstract |
We introduce a CR-invariant class of Lorentzian metrics on a circle bundle over a 3-dimensional CR-structure, which we call FRT-metrics. These metrics generalise the Fefferman metric, allowing for more control of the Ricci curvature, but are more special than the shearfree Lorentzian metrics introduced by Robinson and Trautman. Our main result is a criterion for embeddability of 3-dimensional CR-structures in terms of the Ricci curvature of the FRT-metrics in the spirit of the results by Lewandowski et al. in [37] and also Hill et al. in [25]. We also study higher dimensional versions of shearfree null congruences in conformal Lorentzian manifolds. We show that such structures induce a subconformal structure and a partially integrable almost CR structure on the leaf space and we classify the Lorentzian metrics that induce the same subconformal structure.
|
| Link | |
| Publisher |
University of New England
|
| Title |
Shearfree Lorentzian Geometry and CR Geometry
|
| Type of document |
Thesis Doctoral
|
| Entity Type |
Publication
|
| Name | Size | format | Description | Link |
|---|---|---|---|---|
| administrative/GanjiarjenakiMasoudPhD2019RightOfAccess.pdf | 1286.616 KB | application/pdf | Right of Access | View document |
| administrative/GanjiarjenakiMasoudPhD2019Certification.pdf | 72.447 KB | application/pdf | Certification | View document |
| preservation/GanjiarjenakiMasoudPhD2019OriginalFiles.zip | 1662.318 KB | Original files from HDR | View document | |
| preservation/GanjiarjenakiMasoudPhD2019ThesisArchive.pdf | 585.702 KB | application/pdf | Preservation | View document |
| openpublished/GanjiarjenakiMasoudPhD2019Thesis.pdf | 602.626 KB | application/pdf | Thesis | View document |