New developments in geometric mechanics
Volume 110 / 2016
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.
