Embedding Problems in Symplectic Geometry is popular PDF and ePub book, written by Felix Schlenk in 2008-08-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Embedding Problems in Symplectic Geometry can be Read Online from any device for your convenience.
Embedding Problems in Symplectic Geometry Book PDF Summary
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.
Detail Book of Embedding Problems in Symplectic Geometry PDF
- Author : Felix Schlenk
- Release : 22 August 2008
- Publisher : Walter de Gruyter
- ISBN : 9783110199697
- Genre : Mathematics
- Total Page : 261 pages
- Language : English
- PDF File Size : 17,7 Mb
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