A theorem in complex symplectic geometry (Q1904557)
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scientific article; zbMATH DE number 828776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem in complex symplectic geometry |
scientific article; zbMATH DE number 828776 |
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A theorem in complex symplectic geometry (English)
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8 May 1996
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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.
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symplectic holomorphic maps
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Hamiltonian fields
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action integral
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