Lectures on Symplectic Geometry
Publication year: 2008
ISBN: 978-3-540-45330-7
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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 theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding.
Subject: Mathematics and Statistics, differential geometry, geometry, hamiltonian, manifold, symplectic, symplectic geometry, partial differential equations
