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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• 1. Verfasser: Ikeda, Noriaki
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212170
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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....