Open Access
Article
Graded vector fields and involutive distributions on graded manifolds
*Esmaeil AzizpourCorresponding authoreazizpour@guilan.ac.irDepartment of Pure MathematicsFaculty of Mathematical SciencesUniversity of GuilanRasht, P.O. Box 1914, IranView full profile → , M.H. ZarifiDepartment of Pure MathematicsFaculty of Mathematical SciencesUniversity of GuilanRasht, P.O. Box 1914, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 13 Jun 2017
- Accepted:
- 16 Nov 2017
- Published Online:
- 30 Oct 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1436272
- Pages:
- 101–127
Abstract
Suppose that ℳ = (M, 𝒜) is a graded manifold and consider a direct subsheaf 𝒟 of Der 𝒜 and a graded vector field Γ on ℳ, both satisfying certain conditions. We attach to 𝒟 a distribution 𝒟 + [Γ, 𝒟] and characterize its maximal rank with respect to dim ℳ. 𝒟 is used to characterize the local expression of Γ.
Keywords
Subject Classifications
58A5058A3053C1553B25
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