Geometrical aspects of the covariant dynamics of higher order

D. Opris; I. D. Albu

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 3, page 395-412
  • ISSN: 0011-4642

Abstract

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We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.

How to cite

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Opris, D., and Albu, I. D.. "Geometrical aspects of the covariant dynamics of higher order." Czechoslovak Mathematical Journal 48.3 (1998): 395-412. <http://eudml.org/doc/30428>.

@article{Opris1998,
abstract = {We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.},
author = {Opris, D., Albu, I. D.},
journal = {Czechoslovak Mathematical Journal},
keywords = {jet bundle; fibered manifold; field theory; geometrical dynamics},
language = {eng},
number = {3},
pages = {395-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Geometrical aspects of the covariant dynamics of higher order},
url = {http://eudml.org/doc/30428},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Opris, D.
AU - Albu, I. D.
TI - Geometrical aspects of the covariant dynamics of higher order
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 395
EP - 412
AB - We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.
LA - eng
KW - jet bundle; fibered manifold; field theory; geometrical dynamics
UR - http://eudml.org/doc/30428
ER -

References

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  1. Aspects of the inverse problem to the calculus of variations, Arch. Math. (Brno) 24 (1988), 181–202. (1988) Zbl0674.58017MR0983236
  2. On the Global Structure of Lagrangian and Hamiltonian Formalisms in Higher Order Calculus of Variations, Proceedings of the Meeting “Geometry and Physics”, Florence, October 12–15 (1982), 43–70. (1982) MR0760836
  3. 10.5802/aif.451, Ann. Inst. Fourier, Grenoble 23 (1973), 203–267. (1973) MR0341531DOI10.5802/aif.451
  4. A multisymplectic Framework for Classical Field Theory aud the Calculus of Variations, I. Covariant Hamiltonian Formalism, Mechanics, Analysis and Geometry 200 Years after Lagrange, Amsterdam, 1990. (1990) MR1098517
  5. Semisprays, connections and regular equations in higher order mechanics, Proc. Conf. Diff. Geom. and Its. Appl., World Scientific, Singapore (1990), 276–287. (1990) Zbl0809.58015MR1062030
  6. Some connections related to the geometry of regular higher-order dynamics, Sbornik VA Brno, Řada “B” 2 (1992), 7–18. (1992) 
  7. Natural Dynamical Connections, Czechoslovak Math. J., Praha 41(116) (1991), 724–730. (1991) Zbl0764.53019MR1134961

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