Embedding Problems In Symplectic Geometry

Description

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 book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding constructions, such as "folding", "wrapping", and "lifting". These constructions are carried out in detail and are used to solve some specific symplectic embedding problems. The exposition is self-contained and addressed to students and researchers interested in geometry or dynamics.

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1. Ebooks list page : 2485
2. Lectures on Symplectic Geometry
3. Lectures on Symplectic Geometry (Repost)
4. Symplectic Geometry & Mirror Symmetry
5. Symplectic Geometry and Quantum Mechanics
6. Lectures on Symplectic Geometry (Repost)
7. Introduction to Symplectic and Hamiltonian Geometry
8. Symplectic Geometry & Mirror Symmetry
9. Symplectic Geometry of Integrable Hamiltonian Systems
10. Symplectic Geometry and Quantum Mechanics (RePost)
11. The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein
12. Generalized Symplectic Geometries and the Index of Families of Elliptic Problems
13. [request_ebook] Dynamical Systems IV: Symplectic Geometry & Its Applications
14. Symplectic Methods for the Symplectic Eigenproblem: Heike Fassbender
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