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VIDEO LIBRARY |
International Conference Dedicated to the 100th Anniversary of the Birthday
of V. S. Vladimirov (Vladimirov-100)
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On the separation of variables in the Hamilton-Jacobi equation M. O. Katanaev Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: We consider a point particle moving on a manifold equipped with a metric of arbitrary signature. Necessary and sufficient conditions on metric admitting complete separation of variables in the Hamilton-Jacobi equation are found in the case of linear and indecomposable quadratic conservation laws. |