A geometric characterization of $\mathbb{N}$-graded manifolds and the Frobenius theorem
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.
Authors
- Miquel Cueca (ORCID: https://orcid.org/0000-0002-4709-5671)
- Henrique Bursztyn (ORCID: https://orcid.org/0000-0001-5447-0938)
- Rajan Amit Mehta (ORCID: https://orcid.org/0000-0002-4951-2184)
Institutions
- Instituto Nacional de Matemática Pura e Aplicada (BR)
- Smith College (US)
- KU Leuven (BE)
Publication Details
- Journal
- Journal of Noncommutative Geometry
- Published
- 2025-05-28
- DOI
- https://doi.org/10.4171/jncg/623
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00