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