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On Geometry of Schmidt Legendre Transformation
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On Geometry of Schmidt Legendre Transformation
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math-ph
math.DGmath.MP
keywords
schmidt-legendretransformationbuildingexamplesgeometrizationgeometrylagrangianslegendre
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A geometrization of Schmidt-Legendre transformation of the second order Lagrangians is proposed by building a proper Tulczyjew's triplet. The symplectic relation between Ostrogradsky-Legendre and Schmidt-Legendre transformations is obtained. Several examples are presented.
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