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(Unpublished)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
|
Status: |
Unpublished |
Creators/Authors: |
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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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