Symplectic topology and hamiltonian dynamics
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Christopher Allday (1998)
Banach Center Publications
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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.
Jarek Kędra (2009)
Archivum Mathematicum
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We show that can be nontrivial for that does not admit any symplectic circle action.
Anatol Odzijewicz (1984)
Annales de l'I.H.P. Physique théorique
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