By Felix Schlenk
ISBN-10: 3110178761
ISBN-13: 9783110178760
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings come up as time-1-maps of Hamiltonian flows. The wonderful pressure phenomena for symplectic mappings stumbled on within the final twenty years convey that sure issues cannot be performed via a symplectic mapping. for example, Gromov's recognized "non-squeezing'' theorem states that one can't map a ball right into a thinner cylinder by way of a symplectic embedding. the purpose of this ebook is to teach that definite different issues can be performed via symplectic mappings. this can be accomplished via numerous effortless and specific symplectic embedding structures, comparable to "folding", "wrapping'', and "lifting''. those buildings are performed intimately and are used to resolve a few particular symplectic embedding difficulties.
The exposition is self-contained and addressed to scholars and researchers drawn to geometry or dynamics.
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Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics) by Felix Schlenk
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