Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8196702 | Physics Letters B | 2007 | 8 Pages |
Abstract
An infinite family of ND spaces endowed with sl(2)-coalgebra symmetry is introduced. For all these spaces the geodesic flow is superintegrable, and the explicit form of their common set of integrals is obtained from the underlying sl(2)-coalgebra structure. In particular, ND spherically symmetric spaces with Euclidean signature are shown to be sl(2)-coalgebra spaces. As a byproduct of this construction we present ND generalizations of the classical Darboux surfaces, thus obtaining remarkable superintegrable ND spaces with non-constant curvature.
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Authors
A. Ballesteros, A. Enciso, F.J. Herranz, O. Ragnisco,