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Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem

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Academic year: 2021

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Figure

Fig. 1. The function µ(ϕ) (dashed curve) and Gauss curvature (continuous curve) of the Serret-Andoyer metric
Fig. 2. Extremal curves of the Serret-Andoyer metric
Fig. 3. Right-hand side (p θ > 0) components of the conjugate locus of Serret-Andoyer metric for x 0 = 0, y 0 = arccos √ 0.1.
Fig. 6. Conjugate locus with 15 trajectories for k = 0.8, 0.5, 0.2, 0.1 from top left to bottom right.

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