The Principle of Least Action in Geometry and Dynamics
Karl Friedrich SiburgNew 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.
Catégories:
Année:
2008
Edition:
1
Editeur::
Springer
Langue:
german
Pages:
134
ISBN 10:
3540219447
ISBN 13:
9783540219446
Collection:
Lecture Notes in Mathematics
Fichier:
PDF, 1.24 MB
IPFS:
,
german, 2008
Ce livre ne peut être téléchargé en raison d'une plainte du titulaire d'un droit