New developments in geometric mechanics
Mathematical Physics
2017-01-17 v1 Differential Geometry
math.MP
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.
Cite
@article{arxiv.1510.00296,
title = {New developments in geometric mechanics},
author = {A. J. Bruce and K. Grabowska and J. Grabowski and P. Urbanski},
journal= {arXiv preprint arXiv:1510.00296},
year = {2017}
}
Comments
16 pages, conference proceedings "Geometry of Jets and Fields" (Bedlewo, 10-16 May, 2015)