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The family of (super)integrable potentials on spaces with curvature developedby A. Ballesteros et all is extend to all two-dimensional Cayley-Klein spaceswith the help of contractions. It is shown that integrable systems on spaceswith degenerate metrics are described by two Hamiltonians: one in the base andanother in the fiber.

Integrable potentials on Cayley-Klein spaces from quantum groups