[PDF.44pz] The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich)

The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich)

[PDF.br37] The Geometry of the Group of Symplectic Diffeomorphism (Lectures in Mathematics. ETH Zürich)

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 | #1665902 in Books |  Birkhäuser |  2009-02-22 | Original language:English | PDF # 1 |  9.44 x.34 x6.69l,.56 | File type: PDF | 136 pages

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The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani­ fold (M, 0) plays a fundamental role both in geometry and classical mechanics. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M,O) is the group of all admissible motions. What is the minimal amount of energy required in order to generate a ...

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