SINGULAR FOLIATION GENERATED BY AN ORBIT OF FAMILY OF VECTOR FIELDS
2021 ◽
Vol 10
(4)
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pp. 2141-2147
Keyword(s):
Geometry of orbit is a subject of many investigations because it has important role in many branches of mathematics such as dynamical systems, control theory. In this paper it is studied geometry of orbits of conformal vector fields. It is shown that orbits of conformal vector fields are integral submanifolds of completely integrable distributions. Also for Euclidean space it is proven that if all orbits have the same dimension they are closed subsets.
1963 ◽
Vol 14
(4)
◽
pp. 653-653
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2020 ◽
Vol 17
(08)
◽
pp. 2050120
2006 ◽
Vol 56
(7)
◽
pp. 1069-1095
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