A theorem in complex symplectic geometry
We prove that two simple, closed, real-analytic curves in \(\mathbb{C}^{2n}\) which are polynomially convex are equivalent under the group of symplectic holomorphic automorphisms of \(\mathbb{C}^{2n}\) if and only if the two curves have the same action integral. Every two simple real-analytic arcs in \(\mathbb{C}^{2n}\) are so equivalent.
scientific article; zbMATH DE number 828776
scientific article