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

by Perkins, Kiplin

Abstract (Summary)
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 Einstein equations 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.
Bibliographical Information:

Advisor:Rainer Johnsen; Ezra (Ted) Newman; George Sparling; Simonetta Frittelli; Anthony Duncan

School:University of Pittsburgh

School Location:USA - Pennsylvania

Source Type:Master's Thesis



Date of Publication:09/29/2006

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