Compatible -Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Author: Ikeda, Noriaki
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212170
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Compatible -Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds. Noriaki Ikeda. SIGMA 20 (2024), 025, 19 pages

We consider higher generalizations of both a (twisted) Poisson structure and the equivariant condition of a momentum map on a symplectic manifold. On a Lie algebroid over a (pre-)symplectic and (pre-)multisymplectic manifold, we introduce a Lie algebroid differential form called a compatible --form....