Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections
Annales UMCS, Mathematica (2011)
- Volume: 65, Issue: 1, page 11-19
- ISSN: 2083-7402
Access Full Article
top
Abstract
topHow to cite
topAnna Bednarska. "Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections." Annales UMCS, Mathematica 65.1 (2011): 11-19. <http://eudml.org/doc/268075>.
@article{AnnaBednarska2011,
abstract = {We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler morphism B(∇) on Lfib-fib(Y. These classifications can be expanded on the kth order fibered-fibered frame bundle Lfib-fib,k(Y) instead of Lfib-fib(Y).},
author = {Anna Bednarska},
journal = {Annales UMCS, Mathematica},
keywords = {Fibered-fibered manifold; Lagrangian; Euler morphism; natural operator; classical linear connection; fibered-fibered manifold},
language = {eng},
number = {1},
pages = {11-19},
title = {Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections},
url = {http://eudml.org/doc/268075},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Anna Bednarska
TI - Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 1
SP - 11
EP - 19
AB - We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler morphism B(∇) on Lfib-fib(Y. These classifications can be expanded on the kth order fibered-fibered frame bundle Lfib-fib,k(Y) instead of Lfib-fib(Y).
LA - eng
KW - Fibered-fibered manifold; Lagrangian; Euler morphism; natural operator; classical linear connection; fibered-fibered manifold
UR - http://eudml.org/doc/268075
ER -
References
top- Kurek, J., Mikulski, W. M., Lagrangians and Euler morphisms from connections on the frame bundle, Proceedings of the XIX International Fall Workshop on Geometry and Physics, Porto, 2010. Zbl1291.53034
- Kolář, I., Michor, P. W. and Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993. Zbl0782.53013
- Kolář, I., Connections on fibered squares, Ann. Univ. Mariae Curie-Skłodowska Sect. A 59 (2005), 67-76.
- Kobayashi, S., Nomizu, K., Foundations of Differential Geometry, Vol. I, Interscience Publisher, New York-London, 1963. Zbl0119.37502
- Kurek, J., Mikulski, W. M., On the formal Euler operator from the variational calculus in fibered-fibered manifolds, Proc. of the 6 International Conference Aplimat 2007, Bratislava, 223-229.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.