Lagrangian reduction on homogeneous spaces with advected parameters

DOI10.3842/SIGMA.2015.009zbMath1314.53137arXiv1408.3019MaRDI QIDQ2339248

Cornelia Vizman

Publication date: 31 March 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3019

zbMATH Keywords

Lagrangianhomogeneous spaceEuler-Poincaré equation

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (3)

Invariant variational problems on homogeneous spaces ⋮ Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds ⋮ G -Strands on symmetric spaces

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