Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms
arXiv:1708.03174 · doi:10.3842/SIGMA.2018.135
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.
Final version, 46 pages