Group Invariant Solutions in Mathematical Physics and Differential Geometry
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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 differential geometry and relativistic field theory. The key feature in our theory is that we allow for non-transverse symmetry group actions, which are very common in applications.
Cite
@article{arxiv.math-ph/0101012,
title = {Group Invariant Solutions in Mathematical Physics and Differential Geometry},
author = {I. M. Anderson and M. E. Fels and C. G. Torre},
journal= {arXiv preprint arXiv:math-ph/0101012},
year = {2007}
}
Comments
To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages, AMSTeX