English

Commuting foliations

Differential Geometry 2013-10-22 v2

Abstract

The aim of this paper is to extend the notion of commutativity of vector fields to the category of singular foliations, using Nambu structures, i.e. integrable multi-vector fields. We will classify the relationship between singular foliations and Nambu structures, and show some basic results about commuting Nambu structures.

Cite

@article{arxiv.1206.0435,
  title  = {Commuting foliations},
  author = {Nguyen Tien Zung and Truong Hong Minh},
  journal= {arXiv preprint arXiv:1206.0435},
  year   = {2013}
}

Comments

New version, with a completely new section which clarifies the relationship between singular foliations and Nambu structures. The size of the paper has doubled from 10 to 20 pages

R2 v1 2026-06-21T21:13:31.511Z