Connections on higher order frame bundles

  • Marek Elżanowski
  • Sergey Prishepionok
Part of the Mathematics and Its Applications book series (MAIA, volume 350)

Abstract

In the paper we present the analysis of connections on frame bundles of higher order contact, with special emphasis on the question of local flatness.

Keywords

Fundamental Form Horizontal Distribution Local Section Linear Connection Horizontal Space 
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

  1. 1.
    L.A. Cordero, C.T.J. Dodson, and M. de León: Differential Geometry of Frame Bundles. Kluwer, Dordrecht, 1989.MATHGoogle Scholar
  2. 2.
    M. Elzanowski and M. Epstein: The symmetry group of second-grade materials. Int. J. Non-linear Mech., 27(4):635, 1992.MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    M. Elżanowski and S. Prishepionok: Connections on Holonomic Frame Bundles of Higher Order Contact and Uniform Material Structures. Research Report 4/93, Department of Mathematical Sciences, Portland State University, 1993.Google Scholar
  4. 4.
    M. Elżanowski and S. Prishepionok: Higher grade material structures. In D.F. Parker, editor, Proceedings of the IUTAM & ISIMM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, Kluwer Academic Publishers, University of Nottingham, 1995.Google Scholar
  5. 5.
    P. Garcia: Connections and 1-jet fibre bundles. Rendiconti del Seminario Matematico dell a Universita di Padova, 47:227, 1972.MATHGoogle Scholar
  6. 6.
    S. Kobayashi: Canonical forms on frame bundles of higher order contact. Proc. Symp. Pure Math., 3:186, 1961.Google Scholar
  7. 7.
    P.-C. Yuen: Higher order frames and linear connections. Cahiers de Topologie et Geometrie Diff., 13(3):333, 1971.Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Marek Elżanowski
    • 1
  • Sergey Prishepionok
    • 1
  1. 1.Department of Mathematical SciencesPortland State UniversityPortlandUSA

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