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| 《流体动力学中的拓扑方法（英文版）》是由世界图书出版公司出版的。 |
| Preface Acknowledgments I.Group and Hamiltonian Structures of Fluid Dynamics 1.Symmetry groups for a rigid body and an ideal fluid 2.Lie groups, Lie algebras, and adjoint representation 3.Coadjoint representation of a Lie group 3.A.Definition of the coadjoint representation 3.B.Dual of the space of plane divergence-free vector fields 3.C.The Lie algebra of divergence-free vector fields and its dual in arbitrary dimension 4.Left-invariant metrics and a rigid body for an arbitrary group 5.Applications to hydrodynamics 6.Hamiltonian structure for the Euler equations 7.Ideal hydrodynamics on Riemannian manifolds 7.A.The Euler h |
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