Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
classification
🧮 math-ph
math.DGmath.MP
keywords
lagrangianadvecteddependentequationshomogeneousparameterparametersassociated
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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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