Structure morphisms of prolongation functors

Ivan Kolář

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 1, page 83-93
  • ISSN: 0232-0525

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Kolář, Ivan. "Structure morphisms of prolongation functors." Mathematica Slovaca 30.1 (1980): 83-93. <http://eudml.org/doc/31723>.

@article{Kolář1980,
author = {Kolář, Ivan},
journal = {Mathematica Slovaca},
keywords = {prolongation functors; prolongation procedure; linear frames; first jet prolongation; prolongations of vector fields; generalized Lie derivative},
language = {eng},
number = {1},
pages = {83-93},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Structure morphisms of prolongation functors},
url = {http://eudml.org/doc/31723},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Kolář, Ivan
TI - Structure morphisms of prolongation functors
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 1
SP - 83
EP - 93
LA - eng
KW - prolongation functors; prolongation procedure; linear frames; first jet prolongation; prolongations of vector fields; generalized Lie derivative
UR - http://eudml.org/doc/31723
ER -

References

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  2. TONG VAN DUC, Sur la géométrie différentielle des fibrés vectoriels, Kodai Math. Sem. Rep., 26, 1975, 349--408. (1975) Zbl0331.53024MR0388274
  3. EHRESMANN C., Les prolongements d'un espace fibré différentiable, C. R. Acad. Sci. Paris, 240 1955, 1755-1757 (1955) Zbl0064.17502MR0071083
  4. GARCIA P. L., The Poincaré-Cartan invariant in the calculus of variations, lnstituto Nazionale di Alta Matematica, Symposia Mathematica XIV, Roma 1974, 219-246. (1974) Zbl0303.53040MR0406246
  5. GOLDSCHMIDT H., STERNBERG S., The Hamilton formalism in the calculus of variations, Ann. Inst. Fourier (Grenoble), 23, 1973, 203-267. (1973) MR0341531
  6. GUILLEMIN V., STERNBERG S., Deformation theory of pseudogroup structures, Mem. Amer. Math. Soc. 64, 1966. (1966) MR0211421
  7. KOBAYASHI S., NOMIZU K., Foundations of Differential Geometry, I, New York-London-Sydney 1963. (1963) Zbl0119.37502
  8. KOLÁŘ I., Canonical forms on the prolongations of principal fiber bundles, Rev. Roum. Math. Pures Appl., 16, 1971, 1091-1106. (1971) MR0301668
  9. KOLÁŘ I., Fundamental vector fields on associated fiber bundles, Čas. Pěst. Mat. 102, 1977, 419-425. (1977) Zbl0374.58003MR0482887
  10. KRUPKA D., A geometric theory of ordinary first order variational problems in fibered manifolds I, J. Math. Anal. Appl., 49, 1975, 180-206. (1975) Zbl0312.58002MR0362397
  11. KRUPKA D., TRAUTMAN A., General Invariance of Lagrangian structures, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 22, 1974, 207-211. (1974) Zbl0278.49044MR0345130
  12. KUMPERA A., SPENCER D., Lie equations I, Annals of Mathematics Studies 73, Princeton 1972. (1972) 
  13. NIJENHUIS A., Natural bundles and their general properties, Differential geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
  14. PRADINES J., Théorie de Lie pour les groupoïdes différentiables, Calcul différentiel dans la catégorie des groupoïdes infinitésimaux. C. R. Acad. Sci. Paris 264, 1967 A, 245-248. (1967) Zbl0154.21704MR0216409
  15. PRADINES J., Fibrés vectoriels doubles symétriques et jets holonomes d'ordre 2, C. R. Acad. Sci. Paris 278 1974 A, 1557-1560. (1974) Zbl0285.58003MR0388433
  16. SALVIOLI S. A., On the theory of geometric objects, J. Differential Geometry, 7, 1972, 257-278. (1972) Zbl0276.53013MR0320922
  17. TRAUTMAN A., Invariance of Lagrangian systems, General Relativity, Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. (1972) Zbl0273.58004MR0503424

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