Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics

DOI10.1007/BF00574155zbMath0612.70014MaRDI QIDQ1088424

Pasquale Di Stasio, Gaetano Vilasi

Publication date: 1986

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

zbMATH Keywords

cotangent bundlerotation groupnonlinear evolution equationbi-Hamiltonian structuredegenerate eigenvaluescompletely integrable Hamiltonianfree rigid body dynamicsfree rigid body equationsLagrange-Poisson gyroscopematerial pictureNijenhuis operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ergodic theorems, spectral theory, Markov operators (37A30) Motion of the gyroscope (70E05)

Cites Work

• Unnamed Item
• A geometrical approach to the integrability of soliton equations
• On Whittaker vectors and representation theory
• Evolution equations possessing infinitely many symmetries
• A simple model of the integrable Hamiltonian equation

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