Hamilton-Jacobi theory and moving frames (Q2473470)

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Hamilton-Jacobi theory and moving frames
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    Hamilton-Jacobi theory and moving frames (English)
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    27 February 2008
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    The problem of classifying Killing two-tensors in the Euclidean plane is treated with two tools; firstly, by making use of the moving frame map and elementary theory associated with foliations and secondly, through the Hamilton-Jacobi theory of orthogonal separation of variables. The solution of above problem supports the main conclusion of paper that the underlying ideas of the Hamilton-Jacobi theory of orthogonal separation of variables can be naturally described in the language of geometric theory of group actions.
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    moving frame map
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    Hamilton-Jacobi theory
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    Killing tensor
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    foliations
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    orthogonal separation of variables
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