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Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

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-Poincaré equations with advected parameters.

preprint2015arXivOpen access
Cornelia Vizman
math-phmath.MPmath.DG
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Cornelia Vizman

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