The constructions of general connections on second jet prolongation
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2014)
- Volume: 68, Issue: 1
- ISSN: 0365-1029
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topMariusz Plaszczyk. "The constructions of general connections on second jet prolongation." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 68.1 (2014): null. <http://eudml.org/doc/289771>.
@article{MariuszPlaszczyk2014,
abstract = {We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M.},
author = {Mariusz Plaszczyk},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {1},
pages = {null},
title = {The constructions of general connections on second jet prolongation},
url = {http://eudml.org/doc/289771},
volume = {68},
year = {2014},
}
TY - JOUR
AU - Mariusz Plaszczyk
TI - The constructions of general connections on second jet prolongation
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2014
VL - 68
IS - 1
SP - null
AB - We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M.
LA - eng
KW -
UR - http://eudml.org/doc/289771
ER -
References
top- Doupovec, M., Mikulski, W., Holonomic extension of connections and symmetrization of jets, Rep. Math. Phys. 60 (2007), 299–316.
- Ehresmann, C., Sur les connexions d’ordre supérieur, Atti del V. Cong. del’Unione Mat. Italiana, 1955, Cremonese, Roma, 1956, 344–346.
- Kolář, I., Higher order absolute differentiation with respect to generalized connections, Differential Geometry, Banach Center Publ. 12, PWN-Polish Sci. Publ., Warszawa, 1984, 153–162.
- Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.
- Kolář, I., Prolongations of generalized connections, Differential Geometry (Budapest, 1979), Colloq. Math. Soc. János Bolyai, 31, North-Holland, Amsterdam, 1982, 317-325.
- Kolář, I., On the torsion free connections on higher order frame bundles, New Developments in Differential Geometry (Debrecen, 1994), Proceedings (Conference in
- Debrecen), Math. Appl., 350, Kluwer Acad. Publ., Dordrecht, 1996, 233-241.
- Kurek, J., Mikulski, W., On prolongations of projectable connections, Ann. Polon. Math. 101 (2011), no. 3, 237-250.
- Mikulski, W., On “special” fibred coordinates for general and classical connections, Ann. Polon. Math. 99 (2010), 99-105.
- Mikulski, W., Higher order linear connections from first order ones, Arch. Math. (Brno) 43 (2007), 285-288.
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