Interaction of Flows on Quadrics |
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Authors: | Rahula M Tseluiko D |
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Institution: | (1) Institute of Pure Mathematics, Vanemuise 46, 51014 Tartu, Estonia |
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Abstract: | We interpret the Rodrigues formula describing a torsion of a rigid body in terms of Lie derivatives. We consider a more general situation where vector fields on quadrics (ellipsoids and hyperboloids) are dragged by other vector fields. The question is about the adjoint representation of a Lie group which is more general than the usual torsion group of the three dimensional Euclidean space. |
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Keywords: | Rodrigues formula Lie derivatives Lie groups quadrics |
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