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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
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
Citation:
Cornelia Vizman, “Lagrangian Reduction on Homogeneous Spaces with Advected Parameters”, SIGMA, 11 (2015), 009, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma990 https://www.mathnet.ru/eng/sigma/v11/p9
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Abstract page: | 218 | Full-text PDF : | 56 | References: | 50 |
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