Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
Chanu, Claudia ; Rastelli, Giovanni
arXiv, 0612042 / Harvested from arXiv
Text on arXiv
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 $m \leq n$ Killing two-tensors. Moreover, from the analysis of the eigenvalues, information about the possible symmetries of the web foliations arises. Three cases are examined: the orthogonal separation, the general separation, including non-orthogonal and isotropic coordinates, and the conformal separation, where Killing tensors are replaced by conformal Killing tensors. The method is illustrated by several examples and an application to the L-systems is provided.
Publié le : 2006-12-19
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0612042,
     author = {Chanu, Claudia and Rastelli, Giovanni},
     title = {Eigenvalues of Killing Tensors and Separable Webs on Riemannian and
  Pseudo-Riemannian Manifolds},
     journal = {arXiv},
     volume = {2006},
     number = {0},
     year = {2006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0612042}
}

Chanu, Claudia; Rastelli, Giovanni. Eigenvalues of Killing Tensors and Separable Webs on Riemannian and
  Pseudo-Riemannian Manifolds. arXiv, Tome 2006 (2006) no. 0, . http://gdmltest.u-ga.fr/item/0612042/