Embedding Problems in Symplectic Geometry

by Felix Schlenk

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous "non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this...

• Format: Hardcover
• Language: English
• ISBN: 3110178761
• ISBN13: 9783110178760
• Release Date: April 2005
• Publisher: de Gruyter
• Length: 260 Pages
• Weight: 1.27 lbs.
• Dimensions: 0.8" x 6.9" x 9.8"
• Age Range: 22 years and up
• Grade Range: Postsecondary