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. (c) 2007 Elsevier B.V. All rights reserved.
Ballesteros, A., Enciso, A., Herranz, F.j., Ragnisco, O. (2007). N-dimensional sl(2)-coalgebra spaces with non-constant curvature RID B-5702-2011 RID F-2453-2010. PHYSICS LETTERS. SECTION B, 652(5-6), 376-383 [10.1016/j.physletb.2007.07.012].
N-dimensional sl(2)-coalgebra spaces with non-constant curvature RID B-5702-2011 RID F-2453-2010
RAGNISCO, Orlando
2007-01-01
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. (c) 2007 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
