Connections in 2-fibered manifolds

Ivan Kolář

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 1, page 23-30
  • ISSN: 0044-8753

How to cite


Kolář, Ivan. "Connections in 2-fibered manifolds." Archivum Mathematicum 017.1 (1981): 23-30. <>.

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 = {},
volume = {017},
year = {1981},

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 -
ER -


  1. A. Dekrét, On connections and covariant derivative on fibre manifolds, ČSSR-GDR-Polish Scientific School on Differential Geometry, Boszkowo 1978, Proceedings, 40-55. (1978) 
  2. P. L. García, Connections and l-jets fiber bundles, Rend. Sem. Mat. Univ. Padova, 47 (1972), 227-242. (1972) MR0315624
  3. I. Kolář, On the reducibility of connections on the prolongations of vector bundles, Colloq. Math. 30 (1974), 245-257. (1974) MR0372903
  4. I. Kolář, On the Hamilton formalism in fibered manifolds, Scripta Fac. Sci. Nat. UJEP Brunensis, Physica, 5 (1975), 249-254. (1975) MR0442978
  5. I. Kolář, On generalized connections, to appear in Beitrage zur Algebra und Geometrie. MR0680454
  6. I. Kolář, Structure morphisms of prolongation functors, to appear in Math. Slovaca. MR0568217
  7. I. Kolář, Induced connections and connection morphisms, ČSSR-GDR-Polish Scientific School on Differential Geometry, Boszkowo 1978, Proceedings, 125-132. (1978) 
  8. D. Krupka, Lagrange theory in fibered manifolds, Rep. Mathematical Phys., 2 (1972), 121-133. (1972) MR0287582
  9. P. Libermann, Parallélismes, J. Differential Geometry, 8 (1973), 511-539. (1973) Zbl0284.53023MR0353189

Citations in EuDML Documents

  1. Jan Kurek, On the natural operators of Bianchi type
  2. Ivan Kolář, Vladimír Lešovský, Structure equations of generalized connections
  3. Alena Vanžurová, Connections on the second tangent bundle
  4. Alexandr Vondra, Symmetries of connections on fibered manifolds
  5. Vladimír Lešovský, Deviation of two curvatures
  6. Josef Janyška, Ivan Kolář, On the connections naturally induced on the second order frame bundle
  7. Marco Modugno, Jet involution and prolongations of connections
  8. Antonella Cabras, Ivan Kolář, On the iterated absolute differentiation on some functional bundles
  9. Alexandr Vondra, Geometry of second-order connections and ordinary differential equations

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