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If M is an n-dimensional manifold, then the associated bundle of linear frames LM of M supports the canonically defined Rn-valued soldering 1-form θ^. The pair (LM,dθ^) is an n-symplectic… Click to show full abstract
If M is an n-dimensional manifold, then the associated bundle of linear frames LM of M supports the canonically defined Rn-valued soldering 1-form θ^. The pair (LM,dθ^) is an n-symplectic manifold, where dθ^ is the n-symplectic 2-form. We adapt the proofs of de Gosson and McDuff and Salamon of Gromov’s non-squeezing theorem on R2n to give a proof of Gromov’s theorem for affine n-symplectomorphisms on LRn.
Keywords:
symplectic geometry;
geometry lrn;
gromov theorem;
theorem symplectic;
geometry
Journal Title: Journal of Mathematical Physics
Year Published: 2018
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Journal Title: Journal of Mathematical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!