Perkins, Kiplin
(2006)
The Cartan-Weyl Conformal Geometry of a Pair of Second-OrderPartial-Differential Equations.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
Abstract: We explore the conformal geometric structures of a pair of second-order partial-differential equations.In particular, we investigate the conditions under which this geometry is conformal to the vacuum Einsteinequations of general relativity. Furthermore, we introduce a new version of the conformal Einstein equations,which are used in the analysis of the conformal geometry of the PDE's.
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Details
| Item Type: |
University of Pittsburgh ETD
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| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
29 September 2006 |
| Date Type: |
Completion |
| Defense Date: |
5 July 2006 |
| Approval Date: |
29 September 2006 |
| Submission Date: |
19 July 2006 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Physics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Cartan; conformal; Einstein; metric; null |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-07192006-173116/, etd-07192006-173116 |
| Date Deposited: |
10 Nov 2011 19:52 |
| Last Modified: |
19 Dec 2016 14:36 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/8445 |
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