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Contribution to Book
Group Invariant Solutions in Mathematical Physics and Differential Geometry
The Geometrical Study of Differential Equations
  • Ian M. Anderson, Utah State University
  • Mark E. Fels, Utah State University
  • Charles G. Torre, Utah State University
Document Type
Contribution to Book
Editor
Joshua A. Leslie & Thierry P. Robart
Publisher
American Mathematical Society
Publication Date
1-1-2001
Disciplines
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.
Comments
Originally published by the American Mathematical Society. Book chapter can be accessed through arXiv.org . Hardcopy can be purchased through the AMS Bookstore.
http://arxiv.org/abs/math-ph/0101012
Citation Information
I.M. Anderson, M.E. Fels, and C.G. Torre, Group Invariant Solutions in Mathematical Physics and Differential Geometry, math-ph/0101012, Jan. 2001.