Almost Lie Algebroids and Characteristic Classes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Popescu, M., Popescu, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210054
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Almost Lie Algebroids and Characteristic Classes / M. Popescu, P. Popescu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 21 назв. — англ.

Almost Lie algebroids are generalizations of Lie algebroids, when the Jacobiator is not necessarily null. A simple example is given, for which a Lie algebroid bracket or a Courant bundle is not possible for the given anchor, but a natural extension of the bundle and the new anchor allows a Lie algeb...