Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds ?

@article{Chanu2007EigenvaluesOK,
  title={Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds ?},
  author={Claudia M. Chanu and Giovanni Rastelli},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2007},
  volume={3},
  pages={021}
}
  • C. Chanu, G. Rastelli
  • Published 19 December 2006
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
Given a n-dimensional Riemannian manifold of arbitrary signature, we illustrate an algebraic method for constructing the coordinate webs separating the geodesic Hamilton- Jacobi equation by means of the eigenvalues of m n Killing two-tensors. Moreover, from the analysis of the eigenvalues, information about the possible symmetries of the web folia- tions arises. Three cases are examined: the orthogonal separation, the general separation, including non-orthogonal and isotropic coordinates, and… 
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