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＜電子ブック＞
The Principle of Least Action in Geometry and Dynamics / by Karl Friedrich Siburg
(Lecture Notes in Mathematics. ISSN:16179692 ; 1844)

版	1st ed. 2004.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2004
大きさ	XII, 132 p : online resource
著者標目	*Siburg, Karl Friedrich author SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Dynamical Systems FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds
一般注記	Aubry-Mather Theory -- Mather-Mané 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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-40985-4

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