English

A survey on partial Nambu-Poisson structures in the convenient setting

Differential Geometry 2025-12-15 v9

Abstract

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.

Keywords

Cite

@article{arxiv.2112.14592,
  title  = {A survey on partial Nambu-Poisson structures in the convenient setting},
  author = {Patrick Cabau and Fernand Pelletier},
  journal= {arXiv preprint arXiv:2112.14592},
  year   = {2025}
}

Comments

Error in theorem 3.15

R2 v1 2026-06-24T08:34:46.839Z