Displaying 4001 – 4020 of 4754

Showing per page

Symplectic Capacities in Manifolds

Alfred Künzle (1997)

Banach Center Publications

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.

Currently displaying 4001 – 4020 of 4754