Kniha Embedding Problems in Symplectic Geometry Felix Schlenk

Embedding Problems in Symplectic Geometry

Autor: Felix Schlenk
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: De Gruyter
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
202.12
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise a...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2005
Stránok
260
EAN
9783110178760
ISBN
3110178761
Enbook ID
12565207
Vydavateľ
Hmotnosť
576
Rozmery
170 x 240 x 20

Kompletný popis

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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