Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Author: Vizman, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146901
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lagrangian Reduction on Homogeneous Spaces with Advected Parameters / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ.

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 p...