✦ LIBER ✦

Notes on symplectic geometry

✍ Scribed by Athanassopoulos K.

Book ID: 127397187
Publisher: Univ of Crete
Year: 2007
Tongue: English
Weight: 370 KB
Edition: web draft
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Contents1. Introduction 1.1 Newtonian mechaics 1.2 Lagrangian mechanics 1.3 The equationsof Hamilton 2. Sympletic spaces 2.1 Sympletic vector spaces 2.2 Sympletic manifolds 2.3 Local description of sympletic manifolds 2.4 Hamiltonian vector fields and Poisson bracket 2.5 Coadjoint orbits 2.6 homogeneous sympletic manifolds 2.7 Poisson manifolds3. Symmetries and integrability 3.1 Sympletic group actions 3.2 Momentum maps 3.3 Sympletic reduction 3.4 Completely integrable Hamiltonian systems

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