By Felix Schlenk
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings come up as time-1-maps of Hamiltonian flows. The stunning tension phenomena for symplectic mappings came upon within the final twenty years convey that sure issues cannot be performed by means of a symplectic mapping. for example, Gromov's well-known "non-squeezing'' theorem states that one can't map a ball right into a thinner cylinder by means of a symplectic embedding. the purpose of this e-book is to teach that yes different issues can be performed through symplectic mappings. this is often accomplished through quite a few ordinary and particular symplectic embedding structures, corresponding 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 attracted to geometry or dynamics.
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Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics) by Felix Schlenk