141 citations · 582 across the 23 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
gr-qc2001★ 75 cited
The Principle of Symmetric Criticality in General Relativity
Mark E. Fels, Charles G. Torre
We consider a version of Palais' Principle of Symmetric Criticality (PSC) that is applicable to the Lie symmetry reduction of Lagrangian field theories. PSC asserts that, given a g…
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…