Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

Symmetry Integrability and Geometry-Methods and Applications

article

Cornelia Vizman¹ 

[1] Department of Mathematics, West University of Timi&scedil

关键词: Lagrangian;    homogeneous space;    Euler–Poincar´e equation;   

DOI  :  10.3842/SIGMA.2015.009

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown