Invariant subspaces in higher order jet prolongations of a fibred manifold

Miroslav Doupovec; Alexandr Vondra

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 209-220
  • ISSN: 0011-4642

Abstract

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We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.

How to cite

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Doupovec, Miroslav, and Vondra, Alexandr. "Invariant subspaces in higher order jet prolongations of a fibred manifold." Czechoslovak Mathematical Journal 50.1 (2000): 209-220. <http://eudml.org/doc/30555>.

@article{Doupovec2000,
abstract = {We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.},
author = {Doupovec, Miroslav, Vondra, Alexandr},
journal = {Czechoslovak Mathematical Journal},
keywords = {2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection; 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection},
language = {eng},
number = {1},
pages = {209-220},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Invariant subspaces in higher order jet prolongations of a fibred manifold},
url = {http://eudml.org/doc/30555},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Doupovec, Miroslav
AU - Vondra, Alexandr
TI - Invariant subspaces in higher order jet prolongations of a fibred manifold
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 209
EP - 220
AB - We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.
LA - eng
KW - 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection; 2-fibred manifold; jet prolongation; semiholonomic jets; natural transformation; connection
UR - http://eudml.org/doc/30555
ER -

References

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  2. Some natural operations between connections on fibered manifolds, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 39 (1996), 73–84. (1996) MR1396603
  3. Natural relations between connections in 2 -fibred manifolds, New Developments in Differential Geometry, Proceedings, Kluwer Academic Publishers, Dordrecht, 1996, pp. 113–130. (1996) MR1377278
  4. Connections in 2-fibred manifolds, Arch. Math. (Brno) 17 (1981), 23–30. (1981) 
  5. Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993) MR1202431
  6. Lectures on differential invariants, Folia Fac. Sci. Natur. Univ. Purk. Brun. Phys., Brno, 1990. MR1108622
  7. Fibred spaces, jet spaces and connections for field theories, Proceedings of International Meeting “Geometry and Physics”, Florence, 1982, Pitagora Editrice, Bologna, 1983, pp. 135–165. (1983) MR0760841
  8. Connections and differential calculus on fibred manifolds. Aplications to field theory, Istituto di Matematica Applicata “G. Sansone", Firense, 1989, 1–147. 
  9. The Geometry of Jet Bundles, London Mathematical Society Lecture Note Series 142, Cambridge University Press, Cambridge, 1989. (1989) Zbl0665.58002MR0989588
  10. Towards a geometry of higher-order partial differential equations represented by connections on fibered manifolds, Brno, 1995, 1–114. 

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