Open Access
Article
Dynamical Symmetries for Graded Vector Fields
*Esmaeil AzizpourCorresponding authoreazizpour@guilan.ac.irDepartment of Pure MathematicsFaculty of Mathematical SciencesUniversity of GuilanRasht, P.O. Box 1914, IranView full profile → , Dordi Mohammad AtayiDepartment 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:
- 06 Sep 2018
- Accepted:
- 07 Feb 2019
- Published Online:
- 18 Nov 2019
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2019.1668146
- Pages:
- 187–203
Abstract
Suppose that = (MM ) is a graded manifold and consider a direct subsheaf of Derundefined and a graded vector field Γ on ; both satisfying certain conditions. We associate to the graded vector field Γ ∈ Derundefined, a set of 1-forms and show that if φ ∈ is a non-degenerate graded 1-form and X ∈ Derundefined such that for some superfunction f on undefined then the superfunction F = f − J(φ)(X) satisfies . This result, generalizes the conditions under which there exist a solution for the inverse problem.
Keywords
Subject Classifications
58A5058A3058C5070H33
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