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Commentarii Mathematici Helvetici
Article . 1999 . Peer-reviewed
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Article . 1999
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A Lagrangian camel

Authors: Théret, David;

A Lagrangian camel

Abstract

We prove the Lagrangian analogue of the symplectic camel theorem: there are compact Lagrangian submanifolds of {\Bbb R}^{2n} that cannot be moved through a small hole by a global Hamiltonian isotopy with compact support.

Keywords

Lagrangian camel, Hamiltonian isotopy, [MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG], Relations of dynamical systems with symplectic geometry and topology, Hamiltonian structures, symmetries, variational principles, conservation laws, Lagrangian submanifolds, Symplectic geometry, Hamiltonian and Lagrangian systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
gold