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arXiv · 0704.1470

N-dimensional sl(2)-coalgebra spaces with non-constant curvature

Angel Ballesteros·Alberto Enciso·Francisco J. Herranz·Orlando Ragnisco
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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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Angel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco. 2007-07-02. N-dimensional sl(2)-coalgebra spaces with non-constant curvature. https://doi.org/10.1016/j.physletb.2007.07.012

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