Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms
Differential Geometry
2019-01-01 v3 Mathematical Physics
math.MP
Abstract
We introduce the concept of a higher algebroid, generalizing the notions of an algebroid and a higher tangent bundle. Our ideas are based on a description of (Lie) algebroids as vector bundle comorphisms - differential relations of a special kind. In our approach higher algebroids are vector bundle comorphism between graded-linear bundles satisfying natural axioms. We provide natural examples and discuss applications in geometric mechanics.
Keywords
Cite
@article{arxiv.1708.03174,
title = {Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms},
author = {Michał Jóźwikowski and Mikołaj Rotkiewicz},
journal= {arXiv preprint arXiv:1708.03174},
year = {2019}
}
Comments
Final version, 46 pages