Access the full text.
Sign up today, get DeepDyve free for 14 days.
W. Petryshyn (1965)
On a class of K-p.d. and non-K-p.d. operators and operator equationsJournal of Mathematical Analysis and Applications, 10
P. Griffiths (1982)
Exterior Differential Systems and the Calculus of Variations
K. Mackenzie (1987)
Lie Groupoids and Lie Algebroids in Differential Geometry
P. Olver (1993)
Equivalence and the Cartan formActa Applicandae Mathematica, 31
V. Zharinov (1992)
Lecture Notes on Geometrical Aspects of Partial Differential Equations
(1929)
Mat. (Szeged)
(1929)
Über die Variationsrechnung bei mehrfachen Integralen
I. Anderson (1992)
Introduction to the Variational Bicomplex, 132
V. Itskov (2000)
Orbit reduction of exterior differential systems, and group-invariant variational problems
D. Mumford (1994)
Algebraic Geometry and its Applications
P. Olver (1995)
Equivalence, Invariants, and Symmetry: References
A. Vinogradov (1984)
The b-spectral sequence, Lagrangian formalism, and conservation laws. II. The nonlinear theoryJournal of Mathematical Analysis and Applications, 100
A. Bocharov, I. Krasilʹshchik, A. Vinogradov (1999)
Symmetries and conservation laws for differential equations of mathematical physics
(2007)
Lie groupoids and Lie algebroids in differential geometry, by Kirill Mackenzie
G. R. Jensen (1977)
Lecture Notes in Math
Théophile Donder (1936)
Théorie invariantive du calcul des variationsThe Mathematical Gazette, 20
I. Anderson, M. Fels (1997)
Symmetry reduction of variational bicomplexes and the principle of symmetric criticalityAmerican Journal of Mathematics, 119
(1963)
Differential Geometry, McGraw–Hill
P. J. Olver (1995)
Equivalence, Invariants, and Symmetry
(1897)
¨ Uber Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen, Leipz
M. Fels, P. Olver (1999)
Moving Coframes: II. Regularization and Theoretical FoundationsActa Applicandae Mathematica, 55
D. Mumford (1994)
Elastica and Computer Vision
P. Olver (1993)
Geometrical Aspects of Partial Differential Equations (V. V. Zharinov)SIAM Rev., 35
R. Bryant (1984)
A duality theorem for Willmore surfacesJournal of Differential Geometry, 20
P. Olver (1986)
Applications of lie groups to differential equationsActa Applicandae Mathematica, 20
T. Willmore (1984)
EXTERIOR DIFFERENTIAL SYSTEMS AND THE CALCULUS OF VARIATIONS (Progress in Mathematics, 25)
I. Anderson, J. Pohjanpelto (1995)
The cohomology of invariant variational bicomplexesActa Applicandae Mathematica, 41
T. Tsujishita (1982)
On variation bicomplexes associated to differential equationsOsaka Journal of Mathematics, 19
P. Olver, J. Pohjanpelto (2003)
Moving Frames for Pseudo-Groups. II. Differential Invariants for Submanifolds
(2000)
The Vessiot Handbook
(1957)
Calcul des variations et topologie algébrique
G. Jensen (1977)
Higher Order Contact of Submanifolds of Homogeneous Spaces
P. Olver, J. Pohjanpelto (2003)
Moving Frames for Pseudo-Groups. I. The Maurer-Cartan Forms
W. Tulczyjew (1977)
The Lagrange complexBulletin de la Société Mathématique de France, 105
T. B., E. Kamke (1952)
Differentialgleichungen. Losungsmethoden und Losungen. IThe Mathematical Gazette, 36
(1960)
Methodus Inveniendi Lineas Curvus, Lausanne, 1744, Opera Omnia; ser
V. V. Zharinov (1992)
Geometrical Aspects of Partial Differential Equations
É. Cartan (1935)
Exposés de Géométrie
H. Rund (1967)
The Hamilton-Jacobi theory in the calculus of variations : its role in mathematics and physics
G. M.
A Treatise on the Differential Geometry of Curves and SurfacesNature, 83
E. Cartan (1935)
La méthode du repère mobile, la théorie des groupes continus et les espaces généralisésThe Mathematical Gazette, 19
M. Fels, P. Olver (1998)
Moving Coframes: I. A Practical AlgorithmActa Applicandae Mathematica, 51
P. Olver (2001)
Joint Invariant SignaturesFoundations of Computational Mathematics, 1
M. Fels, P. Olver (1997)
On relative invariantsMathematische Annalen, 308
C. Kilmister (1967)
THE HAMILTON-JACOBI THEORY IN THE CALCULUS OF VARIATIONS
H. W. Guggenheimer (1963)
Differential Geometry
W. Fushchych, I. Yehorchenko (2005)
Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1,n), G(1,n)arXiv: Mathematical Physics
P. Griffiths (1974)
On Cartan’s method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometryDuke Mathematical Journal, 41
P. Olver (2000)
Moving frames and singularities of prolonged group actionsSelecta Mathematica, 6
In this paper, we derive an explicit group-invariant formula for the Euler–Lagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of the variational bicomplex induced by a general equivariant moving frame construction, and is of independent interest.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 5, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.