Geometrical classification of Killing tensors on bidimensional flat manifolds

Details Geometrical classification of Killing tensors on bidimensional flat manifolds Geometrical classification of Killing tensors on bidimensional flat manifolds

2005-12-14

arxiv.org/abs/math/0512324v3

J. Math. Phys. 47, 073506 (2006) (20 pages)

Mathematics

Differential Geometry

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

Scientific paper

10.1063/1.2217649

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.

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