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- W4386399416 abstract "We introduce Stäckel separable coordinates on the covering manifolds $M_k$, where $k$ is a rational parameter, of certain constant-curvature Riemannian manifolds with the structure of warped manifold. These covering manifolds appear implicitly in literature as connected with superintegrable systems with polynomial in the momenta first integrals of arbitrarily high degree, such as the Tremblay-Turbiner-Winternitz system. We study here for the first time multiseparability and superintegrability of natural Hamiltonian systems on these manifolds and see how these properties depend on the parameter $k$." @default.
- W4386399416 created "2023-09-04" @default.
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- W4386399416 date "2023-09-03" @default.
- W4386399416 modified "2023-09-29" @default.
- W4386399416 title "Separation of Variables and Superintegrability on Riemannian Coverings" @default.
- W4386399416 doi "https://doi.org/10.3842/sigma.2023.062" @default.
- W4386399416 hasPublicationYear "2023" @default.
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