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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1844)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Bibliographic Information
Book Title: The Principle of Least Action in Geometry and Dynamics
Authors: Karl Friedrich Siburg
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-40985-4
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Softcover ISBN: 978-3-540-21944-6Published: 17 May 2004
eBook ISBN: 978-3-540-40985-4Published: 30 April 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 132
Topics: Dynamical Systems and Ergodic Theory, Differential Geometry, Global Analysis and Analysis on Manifolds