Group Invariant Solutions in Mathematical Physics and Differential Geometry

Authors

Ian M. Anderson, Utah State UniversityFollow
Mark E. Fels, Utah State UniversityFollow
Charles G. Torre, Utah State UniversityFollow

Document Type

Contribution to Book

Journal/Book Title/Conference

The Geometrical Study of Differential Equations

Volume

285

Publisher

American Mathematical Society

Publication Date

2001

First Page

51

Last Page

60

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.

Recommended Citation

I.M. Anderson, M.E. Fels, and C.G. Torre, Group Invariant Solutions in Mathematical Physics and Differential Geometry, math-ph/0101012, Jan. 2001.

http://arxiv.org/abs/math-ph/0101012