Compactness and index of relative equilibria for the curved n-body problem

15 Mar 2020 Zhu Shuqiang

For the curved n-body problem, we show that the set of relative equilibrium is away from most singular configurations in H^3, and away from a subset of singular configurations in S^3. We also show that each of the n!/2 geodesic relative equilibria for n masses has Morse index n-2... (read more)

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