LIE ALGEBRA OF SOLENOIDAL VECTOR FIELDS
J. AslonovPhd In Physics And Mathematics, Associate Professor Of The Department Of Geometry And Topology Of The Faculty Of Mathematics, National University Of UzbekistanN. MuhiddinovaMaster’s Student National University Of Uzbekistan Named After Mirzo Ulugbek Uzbekistan
2021en
ABI
Abstract
In this paper, solenoidal vector fields on three-dimensional Euclidean space are investigated. It is proved that Killing vector fields are solenoidal. It is also shown that the set of solenoidal vector fields is a Lie algebra with the Lie commutator.
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