Symplectic topology and hamiltonian dynamics
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Symplectic embedding of thin discs into a ball”
Symplectic topology and hamiltonian dynamics
Gromov's K-Area and Symplectic Rigidity.
L. Polterovich (1996)
Geometric and functional analysis
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On Kazhdan's property (T) for Sp(k).
Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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Symplectic Killing spinors
Svatopluk Krýsl (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one...
Symplectic capacities in two dimensions.
Karl Friedrich Siburg (1993)
Manuscripta mathematica
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Symplectic Capacities in Manifolds
Alfred Künzle (1997)
Banach Center Publications
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Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.