-
1
-
-
0001869587
-
Introduction to the variational bicomplex
-
Andersen, I. M.: Introduction to the variational bicomplex, Contemp. Math. 132 (1992), 51-73.
-
(1992)
Contemp. Math.
, vol.132
, pp. 51-73
-
-
Andersen, I.M.1
-
2
-
-
0013056721
-
-
Technical Report, Utah Sate University
-
Andersen, I. M.: The Vessiot handbook, Technical Report, Utah Sate University, 2000.
-
(2000)
The Vessiot Handbook
-
-
Andersen, I.M.1
-
4
-
-
0000236248
-
Symmetry reduction of variational bicomplexes and the principle of symmetric criticality
-
Anderson, I. M. and Fels, M.: Symmetry reduction of variational bicomplexes and the principle of symmetric criticality, Amer. J. Math. 119 (1997), 609-670.
-
(1997)
Amer. J. Math.
, vol.119
, pp. 609-670
-
-
Anderson, I.M.1
Fels, M.2
-
5
-
-
33947110086
-
The cohomology of invariant of variational bicomplexes
-
Anderson, I. M. and Pohjanpelto, J.: The cohomology of invariant of variational bicomplexes, Acta Appl. Math. 41 (1995), 3-19.
-
(1995)
Acta Appl. Math.
, vol.41
, pp. 3-19
-
-
Anderson, I.M.1
Pohjanpelto, J.2
-
6
-
-
0001874919
-
A duality theorem for Willmore surfaces
-
Bryant, R. L.: A duality theorem for Willmore surfaces, J. Differential Geom. 20 (1984), 23-53.
-
(1984)
J. Differential Geom.
, vol.20
, pp. 23-53
-
-
Bryant, R.L.1
-
7
-
-
0000891246
-
Über die variationsrechnung bei mehrfachen Integralen
-
Carathéodory, C: Über die Variationsrechnung bei mehrfachen Integralen, Acta Sci. Mat. (Szeged) 4 (1929), 193-216.
-
(1929)
Acta Sci. Mat. (Szeged)
, vol.4
, pp. 193-216
-
-
Carathéodory, C.1
-
8
-
-
0007011924
-
La méthode du repère mobile, la théorie des groupes continus, et les espaces généralisés
-
Hermann, Paris
-
Cartan, É.: La méthode du repère mobile, la théorie des groupes continus, et les espaces généralisés, Exposés de Géométrie No. 5, Hermann, Paris, 1935.
-
(1935)
Exposés de Géométrie
, vol.5
-
-
Cartan, É.1
-
9
-
-
0013108161
-
Calcul des variations et topologie algébrique
-
Dedecker, P.: Calcul des variations et topologie algébrique, Mém. Soc. Roy. Sci. Liège 19 (1957), 1-216.
-
(1957)
Mém. Soc. Roy. Sci. Liège
, vol.19
, pp. 1-216
-
-
Dedecker, P.1
-
12
-
-
78651402547
-
-
(Lausanne, 1744), Opera Omnia, Ser. 1, Füssli, Zurich
-
Euler, L.: Methodus Inveniendi Lineas Curvus (Lausanne, 1744), Opera Omnia, Ser. 1, 24, Füssli, Zurich, 1960.
-
(1960)
Methodus Inveniendi Lineas Curvus
, pp. 24
-
-
Euler, L.1
-
13
-
-
0031488022
-
On relative invariants
-
Fels, M. and Olver, P. J.: On relative invariants, Math. Ann. 308 (1997), 701-732.
-
(1997)
Math. Ann.
, vol.308
, pp. 701-732
-
-
Fels, M.1
Olver, P.J.2
-
14
-
-
0001302031
-
Moving coframes. I. A practical algorithm
-
Fels, M. and Olver, P. J.: Moving coframes. I. A practical algorithm, Acta Appl. Math. 51 (1998), 161-213.
-
(1998)
Acta Appl. Math.
, vol.51
, pp. 161-213
-
-
Fels, M.1
Olver, P.J.2
-
15
-
-
0001616691
-
Moving coframes. II. Regularization and theoretical foundations
-
Fels, M. and Olver, P. J.: Moving coframes. II. Regularization and theoretical foundations, Acta Appl. Math. 55 (1999), 127-208.
-
(1999)
Acta Appl. Math.
, vol.55
, pp. 127-208
-
-
Fels, M.1
Olver, P.J.2
-
16
-
-
0002725268
-
Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1, n),G(1, n)
-
Fushchich, W. I. and Yegorchenko, I. A.: Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1, n),G(1, n), Acta Appl. Math. 28 (1992), 69-92.
-
(1992)
Acta Appl. Math.
, vol.28
, pp. 69-92
-
-
Fushchich, W.I.1
Yegorchenko, I.A.2
-
17
-
-
84972552696
-
On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
-
Griffiths, P. A.: On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry, Duke Math. J. 41 (1974), 775-814.
-
(1974)
Duke Math. J.
, vol.41
, pp. 775-814
-
-
Griffiths, P.A.1
-
18
-
-
0013149770
-
Exterior differential systems and the calculus of variations
-
Birkhäuser, Boston
-
Griffiths, P. A.: Exterior Differential Systems and the Calculus of Variations, Progr. in Math. 25, Birkhäuser, Boston, 1983.
-
(1983)
Progr. in Math.
, vol.25
-
-
Griffiths, P.A.1
-
20
-
-
0013151314
-
Orbit reduction of exterior differential systems and group-invariant variational problems
-
Itskov, V.: Orbit reduction of exterior differential systems and group-invariant variational problems, Comemp. Math. 285 (2001), 171-181.
-
(2001)
Comemp. Math.
, vol.285
, pp. 171-181
-
-
Itskov, V.1
-
22
-
-
0003289685
-
Higher order contact of submanifolds of homogeneous spaces
-
Springer-Verlag, New York
-
Jensen, G. R.: Higher Order Contact of Submanifolds of Homogeneous Spaces, Lecture Notes in Math. 610, Springer-Verlag, New York, 1977.
-
(1977)
Lecture Notes in Math.
, pp. 610
-
-
Jensen, G.R.1
-
24
-
-
0013152383
-
-
Lie, S.: Über Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen, Leipz. Berichte 49 (1897), 369-410; also Gesammelte Abhandlungen 6, B.G. Teubner, Leipzig, 1927, pp. 664-701.
-
(1897)
Über Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen, Leipz. Berichte
, vol.49
, pp. 369-410
-
-
Lie, S.1
-
25
-
-
0345530218
-
-
Leipzig
-
Lie, S.: Über Integralinvarianten und ihre Verwertung für die Theorie der Differentialgleichungen, Leipz. Berichte 49 (1897), 369-410; also Gesammelte Abhandlungen 6, B.G. Teubner, Leipzig, 1927, pp. 664-701.
-
(1927)
Gesammelte Abhandlungen
, vol.6
, pp. 664-701
-
-
Teubner, B.G.1
-
26
-
-
0003276054
-
Lie groupoids and lie algebroids in differential geometry
-
Cambridge Univ. Press, Cambridge
-
Mackenzie, K.: Lie Groupoids and Lie Algebroids in Differential Geometry, London Math. Soc. Lecture Notes Ser. 124, Cambridge Univ. Press, Cambridge, 1987.
-
(1987)
London Math. Soc. Lecture Notes Ser.
, vol.124
-
-
Mackenzie, K.1
-
27
-
-
0002651956
-
Elastica and computer vision
-
C. Bajaj (ed.), Springer-Verlag, New York
-
Mumford, D.: Elastica and computer vision, In: C. Bajaj (ed.), Algebraic Geometry and its Applications, Springer-Verlag, New York, 1994, pp. 491-506.
-
(1994)
Algebraic Geometry and its Applications
, pp. 491-506
-
-
Mumford, D.1
-
28
-
-
0003317855
-
Applications of lie groups to differential equations, 2nd edn
-
Springer-Verlag, New York
-
Olver, P. J.: Applications of Lie Groups to Differential Equations, 2nd edn, Grad. Texts in Math. 107, Springer-Verlag, New York, 1993.
-
(1993)
Grad. Texts in Math.
, pp. 107
-
-
Olver, P.J.1
-
29
-
-
0002990608
-
Equivalence and the Cartan form
-
Olver, P. J.: Equivalence and the Cartan form, Acta Appl. Math. 31 (1993), 99-136.
-
(1993)
Acta Appl. Math.
, vol.31
, pp. 99-136
-
-
Olver, P.J.1
-
30
-
-
0003694130
-
-
Cambridge Univ. Press, Cambridge
-
Olver, P. J.: Equivalence, Invariants, and Symmetry, Cambridge Univ. Press, Cambridge, 1995.
-
(1995)
Equivalence, Invariants, and Symmetry
-
-
Olver, P.J.1
-
31
-
-
0001784808
-
Moving frames and singularities of prolonged group actions
-
Olver, P. J.: Moving frames and singularities of prolonged group actions, Selecta Math. 6 (2000), 41-77.
-
(2000)
Selecta Math.
, vol.6
, pp. 41-77
-
-
Olver, P.J.1
-
32
-
-
0001662962
-
Joint invariant signatures
-
Olver, P. J.: Joint invariant signatures, Found. Comput. Math. 1 (2001), 3-67.
-
(2001)
Found. Comput. Math.
, vol.1
, pp. 3-67
-
-
Olver, P.J.1
-
36
-
-
84972567177
-
On variational bicomplexes associated to differential equations
-
Tsujishita, T.: On variational bicomplexes associated to differential equations, Osaka J. Math. 19 (1982), 311-363.
-
(1982)
Osaka J. Math.
, vol.19
, pp. 311-363
-
-
Tsujishita, T.1
-
38
-
-
0021413922
-
The C-spectral sequence, Lagrangian formalism and conservation laws. I. The linear theory
-
Vinogradov, A. M.: The C-spectral sequence, Lagrangian formalism and conservation laws. I. The linear theory, J. Math. Anal. Appl. 100 (1984), 1-40.
-
(1984)
J. Math. Anal. Appl.
, vol.100
, pp. 1-40
-
-
Vinogradov, A.M.1
-
39
-
-
0021418212
-
The C spectral sequence, Lagrangian formalism and conservation laws. II. The nonlinear theory
-
Vinogradov, A. M.: The C spectral sequence, Lagrangian formalism and conservation laws. II. The nonlinear theory, J. Math. Anal. Appl. 100 (1984), 41-129.
-
(1984)
J. Math. Anal. Appl.
, vol.100
, pp. 41-129
-
-
Vinogradov, A.M.1
-
40
-
-
0345530216
-
Symmetries and conservation laws for differential equations of mathematical physics
-
Providence, RI
-
Vinogradov, A. M. and Krasil'shchik, I. S. (eds): Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Amer. Math. Soc., Providence, RI, 1998.
-
(1998)
Amer. Math. Soc.
-
-
Vinogradov, A.M.1
Krasil'Shchik, I.S.2
|