On Euler-Arnold equations and totally geodesic subgroups

DOI10.1016/j.geomphys.2011.03.007zbMath1221.53118OpenAlexW2008972461MaRDI QIDQ550289

Stephen Marsland, Matthew Perlmutter, Klas Modin, Robert I. Mclachlan

Publication date: 8 July 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.03.007

zbMATH Keywords

Euler equationsdiffeomorphism groupstotally geodesic subgroups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesic flows in symplectic geometry and contact geometry (53D25) Euler equations (35Q31)

Related Items (14)

Möbius fluid dynamics on the unitary groups ⋮ Diffeomorphic Density Matching by Optimal Information Transport ⋮ Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces ⋮ Homogeneity of magnetic trajectories in the real special linear group ⋮ The geometry of axisymmetric ideal fluid flows with swirl ⋮ Geometric integration of Hamiltonian systems perturbed by Rayleigh damping ⋮ Geodesic warps by conformal mappings ⋮ Geodesic bases for Lie algebras ⋮ On Euler-Arnold equations and totally geodesic subgroups ⋮ Port-Hamiltonian modeling of ideal fluid flow. II: Compressible and incompressible flow ⋮ Port-Hamiltonian modeling of ideal fluid flow. I: Foundations and kinetic energy ⋮ On Radon transforms on compact Lie groups ⋮ Multivariate tensor-based morphometry with a right-invariant Riemannian distance on \(\mathrm{GL}^+(n)\) ⋮ Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms

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• The Geometry of Infinite-Dimensional Groups
• The inverse function theorem of Nash and Moser

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