Geometrical classification of Killing tensors on bidimensional flat manifolds
Differential Geometry
2009-09-29 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math/0512324,
title = {Geometrical classification of Killing tensors on bidimensional flat manifolds},
author = {C. Chanu and L. Degiovanni and R. G. McLenaghan},
journal= {arXiv preprint arXiv:math/0512324},
year = {2009}
}
Comments
27 pages, 20 figures, pictures format changed to .eps, typos corrected