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New developments in geometric mechanics

Volume 110 / 2016

Janusz Grabowski, Andrew J. Bruce, Katarzyna Grabowska, Paweł Urbański Banach Center Publications 110 (2016), 57-72 MSC: Primary 70H50; Secondary 53D17, 83E30. DOI: 10.4064/bc110-0-4

Abstract

We review the concept of a graded bundle, which is a generalisation of a vector bundle, its linearisation, and a double structure of this kind. We then present applications of these structures in geometric mechanics including systems with higher order Lagrangian and the Plateau problem.

Authors

  • Janusz GrabowskiInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail
  • Andrew J. BruceInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail
  • Katarzyna GrabowskaDepartment of Physics
    University of Warsaw
    Pasteura 5
    02-093 Warszawa, Poland
    e-mail
  • Paweł UrbańskiDepartment of Physics
    University of Warsaw
    Pasteura 5
    02-093 Warszawa, Poland
    e-mail

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