Titlebook: Geometry, Mechanics, and Dynamics; The Legacy of Jerry Dong Eui Chang,Darryl D. Holm,Tudor Ratiu Book 2015 Springer Science+Business Media

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J. Kevin Eckert,Mary Ittman Murrey. Possible extensions in three directions are discussed: infinite dimensional Banach (and Hilbert) manifolds, Finsler metrics and pseudo-Riemannian spaces, the latter including links with some relativistic spacetimes. Special emphasis is taken in the cleaning up of known techniques, the statement of

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https://doi.org/10.1057/9781403983671general notion than properness of a group action, but also to more fully understand the role of invariant functions in describing just about everything of interest in reduction.We show that a polite action of a symmetry group of a dynamical system admits reduction and reconstruction.

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Vortices on Closed Surfaces,1941) about vortex motion on multiply connected planar domains. Our main tool is the Green function ..(.,?..) for the Laplace-Beltrami operator of (.,?.), interpreted as the stream function produced by a unit point vortex at ..?∈?.. Since the surface has no boundary, the vorticity distribution . has