Geometrical classification of Killing tensors on bidimensional flat manifolds
Chanu, C. · Degiovanni, L. · McLenaghan, R. G.
Differential Geometry
Mathematical Physics
Exactly Solvable and Integrable Systems
53C80 (Primary), 70G45, 70H20 (Secondary)
الأصل · EN
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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