A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem
Differential Geometry
2024-09-04 v2 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobenius theorem for distributions in this graded setting.
Keywords
Cite
@article{arxiv.2402.17746,
title = {A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem},
author = {Henrique Bursztyn and Miquel Cueca and Rajan Amit Mehta},
journal= {arXiv preprint arXiv:2402.17746},
year = {2024}
}
Comments
v2: minor editorial changes, and additional references included