18.966 | Spring 2007 | Graduate

Geometry of Manifolds

Lecture Notes

lect03.pdf

Description:

Lecture notes on symplectic form on the cotangent bundle; symplectic and Lagrangian submanifolds; conormal bundles; graphs of symplectomorphisms as Lagrangian submanifolds in products; isotopies and vector fields; Hamiltonian vector fields; classical mechanics.

Resource Type:
Lecture Notes

Course Info

Instructor
Departments
As Taught In
Spring 2007
Level
Learning Resource Types
Problem Sets with Solutions
Lecture Notes