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Connections in Distributional Bundles and Field Theories

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Recent Developments in General Relativity, Genoa 2000
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Abstract

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.

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References

  1. Schwartz, L. (1966): Théorie des distributions. Hermann, Paris

    MATH  Google Scholar 

  2. Frölicher, A., Kriegl, A. (1988): Linear spaces and differentiation theory. John Wiley & sons, Chichester

    MATH  Google Scholar 

  3. Kriegl, A., Michor, P. (1997): The convenient setting of global analysis. American Mathematical Society, Providence

    MATH  Google Scholar 

  4. Jadczyk, A., Janyska, J., Modugno, M. (1998): Galilei general relativistic quantum mechanics revisited, in Geometria, Física-Matemática e Outros Ensaios, Homenagem a Antònio Ribeiro Gomes, ed. by A.S. Alves, F.J. Craveiro de Carvalho, J.A. Pereira da Silva, pp. 253–313

    Google Scholar 

  5. Modugno, M., Kolář, I. (1998): Ann. Pol. Math. LXVIII, 2

    Google Scholar 

  6. Cabras, A., Kolář, A. (1995): Czech. Math. J. 45, 120

    Google Scholar 

  7. Canarutto, D.(2000): Archivum Mathematicum Brno 36, 2

    Google Scholar 

  8. Canarutto, D., Jadczyk, A., Modugno, M. (1995): Rep. Math. Phys. 36

    Google Scholar 

  9. Canarutto, D. (1998): J. Math. Phys. 39, 9

    Article  MathSciNet  Google Scholar 

  10. Canarutto, D.(2000): Acta Appl. Math. 62, 2

    Google Scholar 

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© 2002 Springer-Verlag Italia

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Canarutto, D. (2002). Connections in Distributional Bundles and Field Theories. In: Cianci, R., Collina, R., Francaviglia, M., Fré, P. (eds) Recent Developments in General Relativity, Genoa 2000. Springer, Milano. https://doi.org/10.1007/978-88-470-2101-3_23

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  • DOI: https://doi.org/10.1007/978-88-470-2101-3_23

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0162-6

  • Online ISBN: 978-88-470-2101-3

  • eBook Packages: Springer Book Archive

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