On the torsion of linear higher order connections
Open Mathematics (2003)
- Volume: 1, Issue: 3, page 360-366
- ISSN: 2391-5455
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topIvan Kolář. "On the torsion of linear higher order connections." Open Mathematics 1.3 (2003): 360-366. <http://eudml.org/doc/268897>.
@article{IvanKolář2003,
abstract = {For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.},
author = {Ivan Kolář},
journal = {Open Mathematics},
keywords = {53C05; 58A20},
language = {eng},
number = {3},
pages = {360-366},
title = {On the torsion of linear higher order connections},
url = {http://eudml.org/doc/268897},
volume = {1},
year = {2003},
}
TY - JOUR
AU - Ivan Kolář
TI - On the torsion of linear higher order connections
JO - Open Mathematics
PY - 2003
VL - 1
IS - 3
SP - 360
EP - 366
AB - For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.
LA - eng
KW - 53C05; 58A20
UR - http://eudml.org/doc/268897
ER -
References
top- [1] A. Cabras and I. Kolář: Flow prolongation of some tangent valued forms, to appear.
- [2] M. Elźanowski and S. Prishepionok: “Connections on higher order frame bundles”, New Developments in Differential Geometry, Proceedings, Kluwer, 1996, pp. 131–142. Zbl0851.58003
- [3] I. Kolář: “Torision free connections on higher order frame bundles”, New Developments in Differential Geometry, Proceedings, Kluwer, 1996, pp. 233–241. Zbl0901.53016
- [4] I. Kolář, P.W. Michor, J. Slovák: Natural Operations in Differential Geometry, Springer-Verlag, 1993, http://www.math.muni.cz/EMIS/monographs/index.html. Zbl0782.53013
- [5] P.C. Yuen: “Higher order frames and linear connections”, Cahiers Topol. Geom. Diff., Vol. 12, (1971), pp. 333–371.
- [6] A. Zajtz: Foundations of Differential Geometry of Natural Bundles, Lecture Notes Univ. Caracas, 1984.
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