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math.GM 1

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2019 1

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Elliptical trajectories of a point on the elliptical 2-sphere

math.GM ยท 2019-08-07 ยท reject ยท novelty 3.0

The paper derives Darboux-frame equations, Killing equations, and parametric formulas for magnetic curves and helices on an ellipsoid equipped with an anisotropic metric, but the results are reparametrizations of standard spherical curve results.

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  • Elliptical trajectories of a point on the elliptical 2-sphere math.GM ยท 2019-08-07 ยท reject ยท none ยท ref 3

    The paper derives Darboux-frame equations, Killing equations, and parametric formulas for magnetic curves and helices on an ellipsoid equipped with an anisotropic metric, but the results are reparametrizations of standard spherical curve results.