Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies (Q1948587)
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scientific article; zbMATH DE number 6157009
| Language | Label | Description | Also known as |
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| English | Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies |
scientific article; zbMATH DE number 6157009 |
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Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies (English)
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24 April 2013
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The equations of motion of a rigid body on \(\mathrm{so}(4) \times \mathbb{R} ^4\) in the presence of a nonconservative force moment are studied. It is shown that the system is completely integrable. Moreover, the method used in solving the system can be extended to the case \(\mathrm{so}(n) \times \mathbb{R} ^n\), under analogous assumptions.
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dynamics of a rigid body
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integrable motion
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