Koenigs Theorem and Superintegrable Liouville Metrics

Abstract

In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.

References in corpus (4)

• Superintegrable Systems in Darboux spaces
• Explicit metrics for a class of two-dimensional superintegrable systems
• First Integrals from Conformal Symmetries: Darboux-Koenigs Metrics and Beyond
• Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems

Cited by in corpus (1)

• Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries