Lectures on Symplectic Geometry

Lectures on Symplectic Geometry

المؤلف
Ana Cannas Silva
سنة النشر
2008
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Mathematics and Statistics

Provides 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.


الكلمات المفتاحية: Mathematics and Statistics / Differential geometry / Geometry / Hamiltonian / Manifold / Symplectic / Symplectic geometry / Partial differential equations