Connections in Distributional Bundles and Field Theories

  • D. Canarutto
Conference paper


Several standard notions of the differential geometry, such a tangent and jet paces, Frölicher-Nijenhuis bracket, connections and curvature, can be generalized to the case of bundles whose fibres are distribution spaces. Moreover a classical connection on a finite-dimensional bundle yields a connection on an associated distributional bundle. These idea can hed new light on field theories on a curved background.


Vector Bundle Dirac Equation Local Expression Curve Background Coordinate Chart 
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Copyright information

© Springer-Verlag Italia 2002

Authors and Affiliations

  • D. Canarutto
    • 1
  1. 1.Dipartimento di Matematica Applicata “G. Sansone”FirenzeItaly

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