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Fiber parallelism and connections

  • Ivan Kolár
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 838)

Keywords

Vector Field Principal Bundle Linear Connection Follow Diagram Commute Product Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    H. GOLDSCHMIDT, Integrability criteria for systems of non-linear partial differential equations, J. Differential Geometry 1 (1967), 269–307MathSciNetzbMATHGoogle Scholar
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    H. GOLDSCHMIDT-S. STERNBERG, The Hamilton-Cartan formalism in the calculus of variations, Ann. Inst. Fourier (Grenoble), 23 (1973), 203–267MathSciNetCrossRefzbMATHGoogle Scholar
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    I. KOLÁr, On generalized connections, to appear in Beitr. Algebra Geom.Google Scholar
  4. [4]
    I. KOLÁr, Structure morphisms of prolongation functors, to appear in Math. SlovacaGoogle Scholar
  5. [5]
    I. KOLÁr, Connections in 2-fibered manifolds, to appear in Arch. Math. (Brno)Google Scholar
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    D. KRUPKA, Lagrange theory in fibered manifolds, Rep. Mathematical Phys., 2 (1971), 121–133MathSciNetCrossRefzbMATHGoogle Scholar
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    P. LIBERMANN, Parallélismes, J. Differential Geometry, 8 (1973), 511–539MathSciNetzbMATHGoogle Scholar
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    J. PRADINES, Fibrés vectoriels doubles et calcul des jets non holonomes, Esquisses Mathématiques, No. 29, Amiens 1977Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Ivan Kolár
    • 1
  1. 1.Institute of Mathematics of the CSAVBrnoCzechoslovakia

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