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Natural relations between connections in 2-fibred manifolds

  • Miroslav Doupovec
  • Alexandr Vondra
Part of the Mathematics and Its Applications book series (MAIA, volume 350)

Abstract

In the paper, a new approach to the study of interrelations between connections within the framework of a general 2-fibred manifold is introduced. The role of a naturality of the constructions is discussed and the formalism is applied in two particular situations. First, natural relations between connections in J 1 Y→ Y → X are studied and their role for the integrability of partial differential equations represented by connections in question is described. Secondly, the 2-fibred manifold VY → Y → X is investigated. In this case, the importance for a description of the symmetries of equations under consideration is pointed out.

Keywords

Vector Bundle Natural Transformation Natural Relation Linear Connection Natural Operation 
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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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Miroslav Doupovec
    • 1
  • Alexandr Vondra
    • 2
  1. 1.Department of MathematicsTechnical University of BrnoBrnoCzech Republic
  2. 2.Department of MathematicsMilitary Academy in BrnoBrnoCzech Republic

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