New developments in geometric mechanics

  • Grabowski J
  • Bruce A
  • Grabowska K
  • et al.
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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.

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Grabowski, J., Bruce, A. J., Grabowska, K., & Urbański, P. (2016). New developments in geometric mechanics. Banach Center Publications, 110, 57–72. https://doi.org/10.4064/bc110-0-4

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