2 papers
math.DG2004
Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four
M. E. Fels, A. G. Renner
A method, due to Élie Cartan, is used to give an algebraic classification of the non-reductive homogeneous pseudo-Riemannian manifolds of dimension four. Only one case with Lorentz…
math-ph2001
Group Invariant Solutions in Mathematical Physics and Differential Geometry
I. M. Anderson, M. E. Fels, C. G. Torre
This is a brief overview of our work on the theory of group invariant solutions to differential equations. The motivations and applications of this work stem from problems in diffe…