2021/12/29 by Patrick Cabau, Cabau, Patrick, Fernand Pelletier +1
Mathematics · Physics and Astronomy · #17B99 #18A30 #22E65 #46T05 #58A30 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #secondary 37K30
paper · pdf · doi:10.48550/arxiv.2112.14592
openalex publication_date 2021/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is a survey (may be incomplete) on partial Nambu-Poisson structures in infinite dimension, mainly in the convenient setting. These ones can be seen as a generalization of both partial Poisson and Nambu-Poisson structures. We also study the properties of the associated characteristic distribution. Finally, we are interested in the projective and direct limits of such structures.