Euler equations in the algebras e(3) and so(4). Isomorphisms of integrable cases

DOI10.1007/BF01077316zbMath0622.58010MaRDI QIDQ1090998

Alexander Ivanovich Bobenko

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsClebsch-integralSteklov-integral

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (6)

Compatible Lie-Poisson brackets on the Lie algebras \(e(3)\) and \(so(4)\) ⋮ Reduction of divisors and the Clebsch system ⋮ Classical Schottky groups of real type of genus two. III ⋮ Rigid body dynamics in non-Euclidean spaces ⋮ Separation of variables and explicit theta-function solution of the classical Steklov-Lyapunov systems: a geometric and algebraic geometric background ⋮ Classical Schottky groups of real type of genus two. II

Cites Work

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• Geodesic flow on \(SO(4)\) and Abelian surfaces
• Real algebrogeometric solutions of the Landau-Lifshitz equation in Prym theta functions
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory

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