The General Problem of The Motion of Coupled Rigid Bodies About a Fixed Point

By Abdelkhalak El Hami, Bouchaib Radi

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book).

Camel's classic period started with The Snow Goose, an instrumental concept album based on a novella by Paul Gallico. Although there are no lyrics on the album – two songs feature wordless vocals – the music follows the emotional arc of the novella's story, which is about a lonely man named Rhayader who helps nurse a wounded snow goose back to health with the help of a young girl called Fritha he recently befriended.