Könyv Embedding Problems in Symplectic Geometry Felix Schlenk

Embedding Problems in Symplectic Geometry

Szerző: Felix Schlenk
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: De Gruyter
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
77 812 Ft
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise a...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2005
oldal
260
EAN
9783110178760
ISBN
3110178761
Enbook ID
12565207
Kiadó
Súly
576
Méretek
170 x 240 x 20

Teljes leírás

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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