Geometrical classification of Killing tensors on bidimensional flat manifolds

Abstract

Valence two Killing tensors in the Euclidean and Minkowski planes are classified under the action of the group which preserves the type of the corresponding Killing web. The classification is based on an analysis of the system of determining partial differential equations for the group invariants and is entirely algebraic. The approach allows to classify both characteristic and non characteristic Killing tensors.

arXiv comment27 pages, 20 figures, pictures format changed to .eps, typos corrected

References in corpus (2)

• Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
• Covariants,joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

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