Group Invariant Solutions in Mathematical Physics and Differential Geometry

Details Group Invariant Solutions in Mathematical Physics and Differential Geometry Group Invariant Solutions in Mathematical Physics and Differential Geometry

2001-01-11

arxiv.org/abs/math-ph/0101012v1

Physics

Mathematical Physics

To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages, AMSTeX

Scientific paper

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.

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