This article is cited in 2 papers

Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

Cornelia Vizman

Department of Mathematics, West University of Timişoara, Romania

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–Poincaré equations with advected parameters.

Keywords: Lagrangian; homogeneous space; Euler–Poincaré equation.

MSC: 53D17; 53D20; 37K65; 58D05; 58D10

Received: August 14, 2014; in final form January 22, 2015; Published online January 29, 2015

Language: English

DOI: 10.3842/SIGMA.2015.009

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ArXiv: 1408.3019