Structures bihamiltoniennes partielles

2022/07/23 by Patrick Cabau, Cabau, Patrick, Fernand Pelletier +1 · 1 citation
Mathematics · #46T05 #53D17 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2207.11601

openalex publication_date 2022/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce three notions of partial bihamiltonian structures (PQ, PN et PΩ) in the convenient setting defined by Frölicher, Kriegl and Michor. We study geometrical objects linked with these structures and give examples in finite and infinite dimensions.

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• Banach Poisson-Lie groups, Lax equations and the AKS theorem in infinite dimensions

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