Group invariants of Killing tensors defined in the Minkowski plane Rooman Smirnov (rsmirnov@math.uni-paderborn.de)
Abstract We present a new method of finding group invariants of Killing tensors defined in pseudo-Riemannian spaces of constant curvature. The main idea can be interpreted in terms of the classical theory of algebraic invariants. The new group invariants are applied to the problem of classification of separable coordinates for natural Hamiltonian systems defined in the Minkowski plane. The results compare well with the classifications due to Kalnins (1975) and Rastelli (1984) obtained by other method(s). This is a joint work with Ray McLenaghan and Dennis The. |