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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 009, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.009 (Mi sigma990) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

Cornelia Vizman

Department of Mathematics, West University of Timişoara, Romania
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DOI: https://doi.org/10.3842/SIGMA.2015.009
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.
Received: August 14, 2014; in final form January 22, 2015; Published online January 29, 2015
Bibliographic databases:
Document Type: Article
MSC: 53D17; 53D20; 37K65; 58D05; 58D10
Language: English
Citation: Cornelia Vizman, “Lagrangian Reduction on Homogeneous Spaces with Advected Parameters”, SIGMA, 11 (2015), 009, 10 pp.
Citation in format AMSBIB
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\paper Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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