{"title":"Graded vector fields and involutive distributions on graded manifolds","authors":"E. Azizpour, M. Zarifi","doi":"10.1080/1726037X.2018.1436272","DOIUrl":null,"url":null,"abstract":"Abstract Suppose that ℳ = (M, 𝒜M) is a graded manifold and consider a direct subsheaf 𝒟 of Der 𝒜ℳ 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.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"16 1","pages":"101 - 127"},"PeriodicalIF":0.2000,"publicationDate":"2018-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2018.1436272","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2018.1436272","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract Suppose that ℳ = (M, 𝒜M) is a graded manifold and consider a direct subsheaf 𝒟 of Der 𝒜ℳ 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.
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