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Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Published 13 Aug 2014 in math-ph, math.DG, and math.MP | (1408.3019v2)
Abstract: We study the Euler-Lagrange equations for a parameter dependent $G$-invariant Lagrangian on a homogeneous $G$-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group $G$, emphasizing the special invariance properties of the associated Euler-Poincar\'e equations with advected parameters.
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