Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
Archivum Mathematicum (1996)
- Volume: 032, Issue: 4, page 281-288
- ISSN: 0044-8753
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topJanyška, Josef, and Modugno, Marco. "Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold." Archivum Mathematicum 032.4 (1996): 281-288. <http://eudml.org/doc/18470>.
@article{Janyška1996,
abstract = {All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).},
author = {Janyška, Josef, Modugno, Marco},
journal = {Archivum Mathematicum},
keywords = {tangent bundle; jet bundle; connection; natural operator; tangent bundle; jet bundle; connection; natural operator},
language = {eng},
number = {4},
pages = {281-288},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold},
url = {http://eudml.org/doc/18470},
volume = {032},
year = {1996},
}
TY - JOUR
AU - Janyška, Josef
AU - Modugno, Marco
TI - Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 281
EP - 288
AB - All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).
LA - eng
KW - tangent bundle; jet bundle; connection; natural operator; tangent bundle; jet bundle; connection; natural operator
UR - http://eudml.org/doc/18470
ER -
References
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- A. Jadczyk M. Modugno, Galilei general relativistic quantum mechanics, book manuscript, 1994. (1994)
- I. Kolář P. W. Michor J. Slovák, Natural Operations in Differential Geometry, Springer–Verlag, 1993. (1993) MR1202431
- D. Krupka J. Janyška, Lectures on Differential Invariants, Folia Fac. Sci. Nat. Univ. Purkynianae Brunensis, Brno, 1990. (1990) MR1108622
- L. Mangiarotti M. Modugno, Connections and differential calculus on fibred manifolds, Istituto di Matematica Applicata “G. Sansone”, Università di Firenze, 1989. (1989)
- A. Nijenhuis, Natural bundles and their general properties, Diff. Geom., in honour of K. Yano, Kinokuniya, Tokyo 1972, pp. 317–334. (1972) Zbl0246.53018MR0380862
- J. Slovák, On the finite order of some operators, Proc. Conf. Diff. Geom. and Its Appl. (communications), Brno 1986, Published by J. E. Purkyně University 1987, 283-294. (1986) MR0923390
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