Connections in 2-fibered manifolds
Archivum Mathematicum (1981)
- Volume: 017, Issue: 1, page 23-30
- ISSN: 0044-8753
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topKolář, Ivan. "Connections in 2-fibered manifolds." Archivum Mathematicum 017.1 (1981): 23-30. <http://eudml.org/doc/18046>.
@article{Kolář1981,
author = {Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {generalized connection; Bianchi identity; first jet prolongation},
language = {eng},
number = {1},
pages = {23-30},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Connections in 2-fibered manifolds},
url = {http://eudml.org/doc/18046},
volume = {017},
year = {1981},
}
TY - JOUR
AU - Kolář, Ivan
TI - Connections in 2-fibered manifolds
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 1
SP - 23
EP - 30
LA - eng
KW - generalized connection; Bianchi identity; first jet prolongation
UR - http://eudml.org/doc/18046
ER -
References
top- A. Dekrét, On connections and covariant derivative on fibre manifolds, ČSSR-GDR-Polish Scientific School on Differential Geometry, Boszkowo 1978, Proceedings, 40-55. (1978)
- P. L. García, Connections and l-jets fiber bundles, Rend. Sem. Mat. Univ. Padova, 47 (1972), 227-242. (1972) MR0315624
- I. Kolář, On the reducibility of connections on the prolongations of vector bundles, Colloq. Math. 30 (1974), 245-257. (1974) MR0372903
- I. Kolář, On the Hamilton formalism in fibered manifolds, Scripta Fac. Sci. Nat. UJEP Brunensis, Physica, 5 (1975), 249-254. (1975) MR0442978
- I. Kolář, On generalized connections, to appear in Beitrage zur Algebra und Geometrie. MR0680454
- I. Kolář, Structure morphisms of prolongation functors, to appear in Math. Slovaca. MR0568217
- I. Kolář, Induced connections and connection morphisms, ČSSR-GDR-Polish Scientific School on Differential Geometry, Boszkowo 1978, Proceedings, 125-132. (1978)
- D. Krupka, Lagrange theory in fibered manifolds, Rep. Mathematical Phys., 2 (1972), 121-133. (1972) MR0287582
- P. Libermann, Parallélismes, J. Differential Geometry, 8 (1973), 511-539. (1973) Zbl0284.53023MR0353189
Citations in EuDML Documents
top- Ivan Kolář, Vladimír Lešovský, Structure equations of generalized connections
- Jan Kurek, On the natural operators of Bianchi type
- Alena Vanžurová, Connections on the second tangent bundle
- Alexandr Vondra, Symmetries of connections on fibered manifolds
- Marco Modugno, Jet involution and prolongations of connections
- Vladimír Lešovský, Deviation of two curvatures
- Josef Janyška, Ivan Kolář, On the connections naturally induced on the second order frame bundle
- Antonella Cabras, Ivan Kolář, On the iterated absolute differentiation on some functional bundles
- Alexandr Vondra, Geometry of second-order connections and ordinary differential equations
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