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New properties of Euclidean Killing tensors of rank two - MaRDI portal

New properties of Euclidean Killing tensors of rank two (Q2279790)

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New properties of Euclidean Killing tensors of rank two
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    New properties of Euclidean Killing tensors of rank two (English)
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    16 December 2019
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    The author presents a list of properties and formulas for Killing tensor fields of rank \(2\) on the Euclidean plane. These include formulas for associated first integrals, of Lie and Jordan brackets, and for separable coordinate systems. The presentation is based on explicit formulas for Killing tensors on the Euclidean plane from [\textit{D. Boccaletti} and \textit{G. Pucacco}, ``Killing equations in classical mechanics'', Nuovo Cimento 112, 181--212 (1997)].
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    Killing tensor
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    first integral
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    Euclidean plane
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