LIE ALGEBRA OF SOLENOIDAL VECTOR FIELDS

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Pages 07-09

Published: May 10, 2021
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Lie bracket

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J. Aslonov
Phd In Physics And Mathematics, Associate Professor Of The Department Of Geometry And Topology Of The Faculty Of Mathematics, National University Of Uzbekistan
N. Muhiddinova
Master’s Student National University Of Uzbekistan Named After Mirzo Ulugbek Uzbekistan

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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How to Cite
J. Aslonov, & N. Muhiddinova. (2021). LIE ALGEBRA OF SOLENOIDAL VECTOR FIELDS. INTERNATIONAL SCIENTIFIC AND CURRENT RESEARCH CONFERENCES, 1(1), 07–09. Retrieved from https://usajournalshub.com/conferences/index.php/iscrc/article/view/241
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SCIENCE AND INNOVATION IN THE XXI CENTURY: CURRENT ISSUES, DISCOVERIES AND ACHIEVEMENTS
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