Geometry of Orbits of Vector Fields and Singular Foliations

Geometry of Orbits of Vector Fields and Singular Foliations

The subject of this paper is the geometry of orbits of a family of smooth vector fields defined on a smooth manifold and singular foliations generated by the orbits. As is well known, the geometry of orbits of vector fields is one of the main subjects of investigation in geometry and control theory....

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-07, Vol.265 (1), p.52-68
1. Verfasser: Narmanov, A. Ya
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Control theory
Fields (mathematics)
Mathematics
Mathematics and Statistics
Orbits
Smoothness
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Beschreibung
Zusammenfassung:The subject of this paper is the geometry of orbits of a family of smooth vector fields defined on a smooth manifold and singular foliations generated by the orbits. As is well known, the geometry of orbits of vector fields is one of the main subjects of investigation in geometry and control theory. Here we propose several author’s results on this problem. Throughout this paper, smoothness means C ∞ -smoothness.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06044-y