Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Jóźwikowski M., Rotkiewicz M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209869
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms / M. Jóźwikowski, M. Rotkiewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 54 назв. — англ.

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...