NDLI: On a Theorem Due to Birkhoff

Content Provider	Springer Nature Link
Author	Arnaud, Marie Claude
Copyright Year	2010
Abstract	The manifold M being closed and connected, we prove that every submanifold of T*M that is Hamiltonianly isotopic to the zero-section and that is invariant by a Tonelli flow is a graph.
Ending Page	1316
Page Count	10
Starting Page	1307
File Format	PDF
ISSN	1016443X
e-ISSN	14208970
Journal	Geometric and Functional Analysis
Issue Number	6
Volume Number	20
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-10-20
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lagrangian submanifolds; Maslov index Hamilton-Jacobi equations Hamiltonian and Lagrangian dynamics Analysis Lagrangian sub-manifolds weak KAM theory Action-minimizing orbits and measures
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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On a Theorem Due to Birkhoff