New operators on jet spaces

L. Mangiarotti; Marco Modugno

Annales de la Faculté des sciences de Toulouse : Mathématiques (1983)

  • Volume: 5, Issue: 2, page 171-198
  • ISSN: 0240-2963

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Mangiarotti, L., and Modugno, Marco. "New operators on jet spaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.2 (1983): 171-198. <http://eudml.org/doc/73147>.

@article{Mangiarotti1983,
author = {Mangiarotti, L., Modugno, Marco},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {infinitesimal contact transformations; jet functor; tangent functor; prolongations of vector fields},
language = {eng},
number = {2},
pages = {171-198},
publisher = {UNIVERSITE PAUL SABATIER},
title = {New operators on jet spaces},
url = {http://eudml.org/doc/73147},
volume = {5},
year = {1983},
}

TY - JOUR
AU - Mangiarotti, L.
AU - Modugno, Marco
TI - New operators on jet spaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1983
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 2
SP - 171
EP - 198
LA - eng
KW - infinitesimal contact transformations; jet functor; tangent functor; prolongations of vector fields
UR - http://eudml.org/doc/73147
ER -

References

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  1. [1] V. Aldaya - J.A. de Azcarraga. «Variational principles on r-th order jets of fibre bundles in field theory». J. Math. Phys., 19(9), 1978, p. 1869-1875. Zbl0415.58010MR496116
  2. [2] P.L. Garcia. «The Poincaré-Cartan invariant in the calculus of variations». Symposia Mathematica, XIV, A.P., 1974, p. 219-246. Zbl0303.53040MR406246
  3. [3] H. Goldschmidt. «Integrability criteria for systems of non-linear partial differential equations». J. Diff. Geom., 1967, p. 269-307. Zbl0159.14101MR226156
  4. [4] H. Goldschmidt - S. Sternberg. «The Hamilton-Cartan formalism in the calculus of variations». Ann. Inst. Fourier, 23, 1973, p. 203-267. Zbl0243.49011MR341531
  5. [5] R. Hermann. «Geometry, physics and systems». M. Dekker Inc. 1973. Zbl0285.58001MR494183
  6. [6] D. Krupka. «A geometric theory of ordinary first order variational problems in fibered manifolds. I. Critical sections». J. of Math. Analysis and applic.49, 1975, p. 180-206. Zbl0312.58002MR362397
  7. [7] B. Kuperschmidt. «Geometry of jet bundles and the structure of lagrangian and hamiltonian formalism». Lecture notes in Math.775, Springer, Berlin, 1980, p. 162-217. Zbl0439.58016MR569303
  8. [8] L. Mangiarotti - M. Modugno. «Some results on the calculus of variations on jet spaces». To appear on Ann. I nst. H. Poincaré. Zbl0519.49028MR715130
  9. [9] M. Modugno - R. Ragionieri - G. Stefani. «Differential pseudo-connections and field theories». Ann. Inst. H. Poincaré, XXXIV n° 4,1981, p. 465-496. Zbl0478.70015MR625175
  10. [10] R. Ouzilou. «Expression symplectique des problèmes variationnelles». Symposia Mathematica, XIV, A.P., 1974, p. 85-98. Zbl0307.58002MR385923
  11. [11] A. Perez-Rendon. «A minimal interaction principle for classical fields». Symposia Mathematica, XIV, A.P., 1974, p. 293-321. Zbl0305.49049MR406000
  12. [12] W.M. Tulczyjew. «The Euler-Lagrange resolution». Lecture notes in Mathematical Physics, Differential geometrical methods in Mathematical Physics, 836, Springer-Verlag, 1980, p. 22-48. Zbl0456.58012MR607685

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