A $Z_2-$graded analogue of bracket-generating distribution is given. Let $\cd$ be a distribution of rank $(p,q)$ on an $(m,n)$-dimensional graded manifold $\cm,$ we attach to $\cd$ a linear map $F$ on $\cd$ defined by the Lie bracket of graded vector fields of the sections of $\cd.$ Then $\mathcal{D}$ is a bracket-generating distribution of step $2$, if and only if $F$ is of constant rank $(m-p, n-q)$ on $\cm$.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 30 Eylül 2018 |
Gönderilme Tarihi | 18 Nisan 2018 |
Kabul Tarihi | 24 Eylül 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 1 Sayı: 3 |
Universal Journal of Mathematics and Applications
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