Document Type
Article
Publication Date
2025
Publication Title
Journal of Noncommutative 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
graded manifolds, Frobenius theorem
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
© 2025 European Mathematical Society
Version
Version of Record
Recommended Citation
Bursztyn, Henrique; Cueca, Miquel; and Mehta, Rajan Amit, "A Geometric Characterization of N-Graded Manifolds and the Frobenius Theorem" (2025). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/212