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The Geometry of the Group of Symplectic Diffeomorphism
Language: en
Pages: 138
Authors: Leonid Polterovich
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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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 geo
The Geometry of the Group of Symplectic Diffeomorphisms
Language: en
Pages: 154
Authors: Leonid Polterovich
Categories: Diffeomorphisms
Type: BOOK - Published: 2001 - Publisher: Springer

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The group of symplectic diffeomorphisms of a symplectic manifold plays a fundamental role both in geometry and classical mechanics. What is the minimal amount o
Lectures on Symplectic Geometry
Language: en
Pages: 240
Authors: Ana Cannas da Silva
Categories: Mathematics
Type: BOOK - Published: 2004-10-27 - Publisher: Springer

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The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham the
The Structure of Classical Diffeomorphism Groups
Language: en
Pages: 211
Authors: Augustin Banyaga
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to the identity
A Brief Introduction To Symplectic And Contact Manifolds
Language: en
Pages: 178
Authors: Augustin Banyaga
Categories: Mathematics
Type: BOOK - Published: 2016-08-08 - Publisher: World Scientific

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The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some