Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Fordy, A.P., Huang, Q.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210185
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems / A.P. Fordy, Q. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 15 назв. — англ.

The Darboux-Koenigs metrics in 2D are an important class of conformally flat, non-constant curvature metrics with a single Killing vector and a pair of quadratic Killing tensors. In [arXiv:1804.06904], it was shown how to derive these by using the conformal symmetries of the 2D Euclidean metric. In...