Geodesic
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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–Poincaré equations with advected parameters.
Keywords: Lagrangian; homogeneous space; Euler–Poincaré equation. 
@article{SIGMA_2015_11_a8,
     author = {Cornelia Vizman},
     title = {Lagrangian {Reduction} on {Homogeneous} {Spaces} with {Advected} {Parameters}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2015},
     volume = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a8/}
}
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Cornelia Vizman. Lagrangian Reduction on Homogeneous Spaces with Advected Parameters. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a8/

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