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arxiv: math-ph/0604038 · v2 · submitted 2006-04-18 · 🧮 math-ph · astro-ph· math.DG· math.HO· math.MP· nlin.SI

The classical Bertrand-Darboux problem

classification 🧮 math-ph astro-phmath.DGmath.HOmath.MPnlin.SI
keywords classicalproblembertrandbertrand-darbouxcartanconsideredcontextdarboux
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The well-known problem of classical mechanics considered by Bertrand (1857) and Darboux (1901) is reviewed in the context of Cartan's geometry.

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