The geometry of the accessible sets of vector fields / A.Y. Narmanov and I. Ganiev

In this paper it is studied geometry of accessible sets of family of vector fields. It is proved that sets of 0- accessible sets are smooth submanifolds of an orbit. It is also proved that on the any manifold there is a system of vector fields consisting of three vector fields, such that each set of...

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主要な著者: Narmanov, A.Y., Ganiev, I.
フォーマット: Conference or Workshop Item
言語:English
出版事項: 2015
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オンライン・アクセス:https://ir.uitm.edu.my/id/eprint/53768/1/53768.pdf
https://ir.uitm.edu.my/id/eprint/53768/
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要約:In this paper it is studied geometry of accessible sets of family of vector fields. It is proved that sets of 0- accessible sets are smooth submanifolds of an orbit. It is also proved that on the any manifold there is a system of vector fields consisting of three vector fields, such that each set of 0- accessible sets coincide with the manifold.