The principle of least action in geometry and dynamics /

The principle of least action in geometry and dynamics /

Saved in:

Bibliographic Details
Author / Creator:	Siburg, Karl Friedrich.
Imprint:	Berlin ; New York : Springer-Verlag, ©2004.
Description:	1 online resource (xii, 128 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1844 Lecture notes in mathematics (Springer-Verlag) ; 1844.
Subject:	Symplectic manifolds. Geometry, Differential. Geometry, Differential. Symplectic manifolds.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11065344

Hidden Bibliographic Details
ISBN:	3540219447 9783540219446 9783540409854 3540409858
Notes:	Includes bibliographical references and index. Print version record.
Summary:	New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather{u2019}s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Other form:	Print version: Siburg, Karl Friedrich. Principle of least action in geometry and dynamics. Berlin ; New York : Springer, ©2004 3540219447

Table of Contents:

Aubry-Mather Theory
Mather-ManF Theory
The Minimal Action and Convex Billiards
The Minimal Action Near Fixed Points and Invariant Tori
The Minimal Action and Hofer's Geometry
The Minimal Action and Symplectic Geometry
References
Index