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The Cartan-Weyl Conformal Geometry of a Pair of Second-OrderPartial-Differential Equations

Perkins, Kiplin (2006) The Cartan-Weyl Conformal Geometry of a Pair of Second-OrderPartial-Differential Equations. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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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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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairNewman, Ezra (Ted)newman@pitt.eduNEWMAN
Committee CoChairDuncan, Anthonytony@dectony.phyast.pitt.eduHAD
Committee MemberSparling, Georgesparling@twistor.orgSPARLING
Committee MemberJohnsen, Rainerrj@pitt.eduRJ
Committee MemberFrittelli,
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:, etd-07192006-173116
Date Deposited: 10 Nov 2011 19:52
Last Modified: 19 Dec 2016 14:36


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