A. Shchepetilov

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20022006

most citedNonintegrability of the two-body problem in constant curvature spaces

26 citations · 50 across the 7 of their papers we have counts for

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math.DS2006

Nonintegrability of the two-body problem in constant curvature spaces II

Alexey V. Shchepetilov

We consider the reduced two-body problem with a central potential on the sphere $S^{2}$ and the hyperbolic plane $H^{2}$ . For two potentials different from the Newton a…

math.DS2006★ 26 cited

Nonintegrability of the two-body problem in constant curvature spaces

Alexey V. Shchepetilov

We consider the reduced two-body problem with the Newton and the oscillator potentials on the sphere $S^{2}$ and the hyperbolic plane $H^{2}$ . For both types of interac…