Natural dynamical connections

Alexandr Vondra

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 4, page 724-730
  • ISSN: 0011-4642

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Vondra, Alexandr. "Natural dynamical connections." Czechoslovak Mathematical Journal 41.4 (1991): 724-730. <http://eudml.org/doc/13966>.

@article{Vondra1991,
author = {Vondra, Alexandr},
journal = {Czechoslovak Mathematical Journal},
keywords = {jet bundles; Lagrangian; natural affinors},
language = {eng},
number = {4},
pages = {724-730},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural dynamical connections},
url = {http://eudml.org/doc/13966},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Vondra, Alexandr
TI - Natural dynamical connections
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 4
SP - 724
EP - 730
LA - eng
KW - jet bundles; Lagrangian; natural affinors
UR - http://eudml.org/doc/13966
ER -

References

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  1. M. Crampin G. E. Prince, and G. Thompson, 10.1088/0305-4470/17/7/011, J. Phys. A: Math. Gen., 17: 1437- 1447, 1984. (1984) MR0748776DOI10.1088/0305-4470/17/7/011
  2. L. C. de Andres M. de León, and P. R. Rodrigues, Connections on tangent bundles of higher order, Demonstratio Mathematica, 22(3): 607-632, 1989. (1989) MR1041903
  3. L. C. de Andres M. de León, and P. R. Rodrigues, Connections on tangent bundles of higher order associated to regular Lagrangians, Geometriae Dedicata, 39: 12-18, 1991. (1991) MR1116206
  4. M. de León, P. R. Rodrigues, Dynamical connections and nonautonomous Lagrangian systems, Ann. Fac. Sci. Toulouse, IX: 171-181, 1988. (1988) 
  5. M. de León, P. R. Rodrigues, Generalized Classical Mechanics and Field Theory, North-Holland, 1985. (1985) MR0808964
  6. A. Dekrét, Ordinary differential equations and connections, In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 27-32, 1990. (1989) MR1062002
  7. M. Doupovec, I. Kolář, Natural affinors on time-dependent Weil bundles, to appear. MR1189217
  8. D. J. Saunders, The Geometry of Jet Bundles, London Mathematical Society Lecture Note Series 142, Cambridge University Press, 1989. (1989) Zbl0665.58002MR0989588
  9. D. J. Saunders, 10.1088/0305-4470/20/11/029, J. Phys. A: Math. Gen, 20: 3261-3270, 1987. (1987) Zbl0627.70013MR0914055DOI10.1088/0305-4470/20/11/029
  10. A. Vondra, On some connections related to the geometry of regular higher-order dynamics, preprint. 
  11. A. Vondra, Semisprays, connections and regular equations in higher-order mechanics, In Proc. Conf. Diff. Geom. and Its Appl., Brno 1989, pp. 276-287, 1990. (1989) MR1062030
  12. A. Vondra, Sprays and homogeneous connections on R × T M , to appear. Zbl0790.53028MR1222283

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