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Lie aspects of the dynamics of self-gravitating ellipsoids in n dimensions

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Publication:2774863
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DOI10.1063/1.1316059zbMath1032.37037OpenAlexW2039160273MaRDI QIDQ2774863

Jesús Carrero

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1316059


zbMATH Keywords

Poisson structureDarboux coordinatesring of invariant functionscharacterization of tensors


Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General theory of rotating fluids (76U05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Poisson algebras (17B63)


Related Items (1)

On the dynamics of self-gravitating ellipsoid in \(n\) dimensions and its deformation quantization




Cites Work

  • On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
  • Rapidly rotating nuclei as Riemann ellipsoids




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