Перегляд за автором "Schöbel, K."

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  • Are Orthogonal Separable Coordinates Really Classified? 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We prove that the set of orthogonal separable coordinates on an arbitrary (pseudo-)Riemannian manifold carries a natural structure of a projective variety, equipped with an action of the isometry group. This leads us to ...
  • Nijenhuis Integrability for Killing Tensors 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables are second order Killing tensors which satisfy ...
  • The Variety of Integrable Killing Tensors on the 3-Sphere 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely solve the Nijenhuis integrability conditions ...