Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Herranz, F.J., Ballesteros, Á
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146443
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature / F.J. Herranz, Á. Ballesteros // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 43 назв. — англ.

A family of classical superintegrable Hamiltonians, depending on an arbitrary radial function, which are defined on the 3D spherical, Euclidean and hyperbolic spaces as well as on the (2+1)D anti-de Sitter, Minkowskian and de Sitter spacetimes is constructed. Such systems admit three integrals of th...