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The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe? In other words, how do we meas
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Relative Equilibria in the Curved N-body Problem

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Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem
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Considers the 3 -dimensional gravitational n -body problem, n32 , in spaces of constant Gaussian curvature k10 , i.e. on spheres S 3 ?1 , for ?>0 , and on hyper
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