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

Simple item page
dc.creatorChanu, Claudia
dc.creatorRastelli, Giovanni
dc.date2006-12-19
dc.date2007-02-12
dc.date.accessioned2026-07-07T09:34:41Z
dc.date.available2026-07-07T09:34:41Z
dc.descriptionGiven 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.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0612042
dc.identifierhttp://arxiv.org/abs/nlin/0612042
dc.identifierSIGMA 3 (2007), 021, 21 pages
dc.identifierdoi:10.3842/SIGMA.2007.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159581
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleEigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
dc.typetext

Files

Collections

arXiv