Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex

By Irina A. Kogan, Peter J. Olver. 2003

111 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6cd7ea24801f5459034f79cc9cd7651b0b87f58c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Juha Pohjanpelto
2. Peter J. Olver
3. Gloria Marí Beffa
4. G. Misiołek
5. A. Alexandrou Himonas
6. Yue Liu

In Statistical and Nonlinear Physics

1. Juha Pohjanpelto
2. Peter J. Olver
3. Gloria Marí Beffa
4. G. Misiołek
5. A. Alexandrou Himonas
6. Yue Liu
7. Changzheng Qu
8. Yong Zhou

Citations in the corpus

• Generating differential invariants (2007, background): “In this case, there is a single fundamental differential syzygy among the curvature invariants: the Gauss–Codazzi formula, [11].”
• Moving Frames for Lie Pseudo–Groups (2008, methodology): “Therefore, our pseudo-group moving frame construction will include the finite-dimensional version in [21, 30, 31] as a special subcase.”
• Maurer–Cartan forms and the structure of Lie pseudo-groups (2005, methodology): “Following [37, 38], we shall develop the theory in the context of the variational bicomplex over each (infinite) jet bundle, [1, 2, 38, 73, 75].”
• Differential invariant algebras of Lie pseudo-groups (2009, background): “These do play a role in applications in the invariant calculus of variations, [30], but not in the structure of the differential invariant algebra, which is the present object of study.”