Lectures on Symplectic Geometry (Lecture Notes in Mathematics) by Ana Cannas da Silva
English | July 15, 2008 | ISBN: 3540421955 | 229 Pages | PDF | 12 MB
English | July 15, 2008 | ISBN: 3540421955 | 229 Pages | PDF | 12 MB
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.