Download e-book for kindle: Embedding Problems in Symplectic Geometry (De Gruyter by Felix Schlenk

By Felix Schlenk

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings come up as time-1-maps of Hamiltonian flows. The marvelous pressure phenomena for symplectic mappings found within the final 20 years express that convinced issues cannot be performed by way 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 way of a symplectic embedding. the purpose of this booklet is to teach that sure different issues can be performed via symplectic mappings. this can be accomplished through a number of easy and specific symplectic embedding buildings, akin to "folding", "wrapping'', and "lifting''. those structures are performed intimately and are used to unravel a few particular symplectic embedding difficulties.

The exposition is self-contained and addressed to scholars and researchers attracted to geometry or dynamics.

Show description

Read or Download Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics) PDF

Similar geometry & topology books

Get Gems of Geometry PDF

In response to a chain of lectures for grownup scholars, this full of life and pleasing publication proves that, faraway from being a dusty, boring topic, geometry is in truth choked with good looks and fascination. The author's infectious enthusiasm is positioned to exploit in explaining a number of the key recommendations within the box, beginning with the Golden quantity and taking the reader on a geometric trip through Shapes and Solids, in the course of the Fourth measurement, winding up with Einstein's Theories of Relativity.

Download e-book for kindle: Non-Hausdorff Topology and Domain Theory (New Mathematical by Jean Goubault-Larrecq

This exact publication on sleek topology seems to be well past conventional treatises and explores areas which can, yet don't need to, be Hausdorff. this can be crucial for area thought, the cornerstone of semantics of desktop languages, the place the Scott topology is sort of by no means Hausdorff. For the 1st time in one quantity, this publication covers uncomplicated fabric on metric and topological areas, complex fabric on whole partial orders, Stone duality, sturdy compactness, quasi-metric areas and masses extra.

Topology and Geometry for Physicists (Dover Books on - download pdf or read online

Differential geometry and topology are crucial instruments for plenty of theoretical physicists, fairly within the learn of condensed subject physics, gravity, and particle physics. Written by way of physicists for physics scholars, this article introduces geometrical and topological tools in theoretical physics and utilized arithmetic.

Get The Topology of Stiefel Manifolds (London Mathematical PDF

Stiefel manifolds are a fascinating kin of areas a lot studied by means of algebraic topologists. those notes, which originated in a direction given at Harvard collage, describe the country of information of the topic, in addition to the phenomenal difficulties. The emphasis all through is on functions (within the topic) instead of on conception.

Additional resources for Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics)

Example text

Download PDF sample

Embedding Problems in Symplectic Geometry (De Gruyter Expositions in Mathematics) by Felix Schlenk

by David

Rated 4.96 of 5 – based on 15 votes