Möbius fluid dynamics on the unitary groups
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Publication:2152445
DOI10.1134/S1560354722030054MaRDI QIDQ2152445
Marcos Salvai, Daniela Emmanuele, Francisco Vittone
Publication date: 8 July 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.03721
inviscid Burgers equationMöbius actionforce-free motionkinetic energy metricmaximal isotropic subspacenonrigid dynamicssplit unitary group
Applications of differential geometry to physics (53Z05) Incompressible inviscid fluids (76B99) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
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Cites Work
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- Geodesics on the symplectomorphism group
- Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum
- On Euler-Arnold equations and totally geodesic subgroups
- Basic transformations of symmetric R-spaces
- Geodesic equations on diffeomorphism groups
- Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry
- Korteweg - de Vries suoerequation as an Euler equation
- Totally geodesic subgroups of diffeomorphisms
- Force free conformal motions of the sphere.
- Dynamics of symplectic fluids and point vortices
- Force free Möbius motions of the circle
- Semi-invariant Riemannian metrics in hydrodynamics
- Circles in self dual symmetric \(R\)-spaces
- Riemannian geometry of the contactomorphism group
- Force free projective motions of the sphere
- Overview of the geometries of shape spaces and diffeomorphism groups
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- On completeness of groups of diffeomorphisms
- A geometry where everything is better than nice
- Submanifolds and Holonomy
- Geometric hydrodynamics and infinite-dimensional Newton’s equations
- Transformation Groups on Compact Symmetric Spaces
- The Random Matrix Theory of the Classical Compact Groups
- Quaternions and matrices of quaternions
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