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International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 9, 2023 17:30, Moscow, Steklov Mathematical Institute, room 430 (Gubkina 8) + Zoom


On the separation of variables in the Hamilton-Jacobi equation

M. O. Katanaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow



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.


© Steklov Math. Inst. of RAS, 2024