Geometry of bracket-generating distributions  of step 2 on graded manifolds

Esmaeil AZİZPOUR; Dordi Mohammad ATAEİ

doi:https://doi.org/10.32323/ujma.416741

Article Details

Geometry of bracket-generating distributions of step 2 on graded manifolds

Authors:

Esmaeil AZİZPOUR | Dordi Mohammad ATAEİ

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 3, pp.196-201

Document Type:

Article

Publication Date:

9/2018

Document Language:

English

Document ID (Org No.):

2000670188

Frequency:

Quarterly

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.416741

Abstract:

 


A Z2−Z2−Z_2-graded analogue of bracket-generating distribution is given. Let \cd\cd\cd be a distribution of rank (p,q)(p,q)(p,q) on an (m,n)(m,n)(m,n)-dimensional graded manifold \cm,\cm,\cm, we attach to \cd\cd\cd a linear map FFF on \cd\cd\cd defined by the Lie bracket of graded vector fields of the sections of \cd.\cd.\cd. Then DD\mathcal{D} is a bracket-generating distribution of step 222, if and only if FFF is of constant rank (m−p,n−q)(m−p,n−q)(m-p, n-q) on \cm\cm\cm.

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Article Details

Geometry of bracket-generating distributions of step 2 on graded manifolds

Authors: Esmaeil AZİZPOUR | Dordi Mohammad ATAEİ

Publisher: Emrah Evren KARA

Main Topics: Mathematics

Journal: Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 3, pp.196-201

Document Type: Article

Publication Date: 9/2018

Document Language: English

Document ID (Org No.): 2000670188

Frequency: Quarterly

pISSN: 2619-9653

DOI: https://doi.org/10.32323/ujma.416741

Issues

Authors:

Esmaeil AZİZPOUR | Dordi Mohammad ATAEİ

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 3, pp.196-201

Document Type:

Article

Publication Date:

9/2018

Document Language:

English

Document ID (Org No.):

2000670188

Frequency:

Quarterly

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.416741