The Geometry of the Group of Symplectic Diffeomorphism

by Leonid Polterovich

The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani- fold (M, 0) plays a fundamental role both in geometry and classical mechanics. For a geometer, at least under some assumptions on the manifold M, this is just the connected component of the identity in the group of all symplectic diffeomorphisms. From the viewpoint of mechanics, Ham(M, O) is the group of all admissible motions. What is the minimal amount of energy required in...

• Format: Paperback
• Language: English
• ISBN: 3764364327
• ISBN13: 9783764364328
• Release Date: March 2001
• Publisher: Birkhauser
• Length: 136 Pages
• Weight: 0.56 lbs.
• Dimensions: 0.3" x 6.7" x 9.6"