Torsions of connections on higher order cotangent bundles
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 4, page 949-962
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topDoupovec, Miroslav, and Kurek, Jan. "Torsions of connections on higher order cotangent bundles." Czechoslovak Mathematical Journal 53.4 (2003): 949-962. <http://eudml.org/doc/30827>.
@article{Doupovec2003,
abstract = {By a torsion of a general connection $\Gamma $ on a fibered manifold $Y\rightarrow M$ we understand the Frölicher-Nijenhuis bracket of $\Gamma $ and some canonical tangent valued one-form (affinor) on $Y$. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.},
author = {Doupovec, Miroslav, Kurek, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {affinor; general connection; torsion; affinor; general connection; torsion},
language = {eng},
number = {4},
pages = {949-962},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Torsions of connections on higher order cotangent bundles},
url = {http://eudml.org/doc/30827},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Doupovec, Miroslav
AU - Kurek, Jan
TI - Torsions of connections on higher order cotangent bundles
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 949
EP - 962
AB - By a torsion of a general connection $\Gamma $ on a fibered manifold $Y\rightarrow M$ we understand the Frölicher-Nijenhuis bracket of $\Gamma $ and some canonical tangent valued one-form (affinor) on $Y$. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.
LA - eng
KW - affinor; general connection; torsion; affinor; general connection; torsion
UR - http://eudml.org/doc/30827
ER -
References
top- Some geometrical constructions with -tensor fields on higher order cotangent bundles, Annales UMCS 50 (1996), 43–50. (1996) MR1472576
- 10.1016/0926-2245(92)90006-9, Diff. Geom. Appl. 2 (1992), 1–16. (1992) MR1244453DOI10.1016/0926-2245(92)90006-9
- Natural Operations in Differential Geometry, Springer-Verlag, 1993. (1993) MR1202431
- Natural affinors on higher order cotangent bundle, Arch. Math. (Brno) 28 (1992), 175–180. (1992) Zbl0782.58007MR1222284
- 10.4064/ap-58-1-29-35, Ann. Polon. Math. 58 (1993), 29–35. (1993) Zbl0778.58003MR1215758DOI10.4064/ap-58-1-29-35
- Torsions of connections on tangent bundles of higher order, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 54 (1998), 65–73. (1998) MR1662727
- Fibered spaces, jet spaces and connections for field theories, Proc. of Internat. Meet. Geometry and Physics, Florence 1982, Pitagora Editrice, Bologna, 1983, pp. 135–165. (1983) MR0760841
- Connections and differential calculus on fibred manifolds. Applications to field theory, Florence Univ., Dept. of Appl. Math. (1989), Preprint. (1989)
- 10.1137/0130035, SIAM J. Appl. Math. 30 (1976), 355–380. (1976) Zbl0322.53019MR0394482DOI10.1137/0130035
- The natural affinors on generalized hogher order tangent bundles, Rend. Mat. Appl. 21 (2001), 339–349. (2001) MR1884952
Citations in EuDML Documents
topNotesEmbed ?
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.