A theorem in complex symplectic geometry

DOI10.1007/BF02921802zbMath0836.58015OpenAlexW1993616264MaRDI QIDQ1904557

Franc Forstnerič

Publication date: 8 May 1996

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921802

zbMATH Keywords

action integralsymplectic holomorphic mapsHamiltonian fields

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Complex Lie groups, group actions on complex spaces (32M05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20)

Related Items (3)

Equivalence of real submanifolds under volume-preserving holomorphic automorphisms of \(\mathbb{C}^ n\) ⋮ The first thirty years of Andersén-Lempert theory ⋮ Polynomially convex hulls of singular real manifolds

Cites Work

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• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• The hull of a curve in \(\mathbb C^n\)
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Approximation by automorphisms on smooth submanifolds of \(\mathbb{C}^ n\)
• Actions of \((\mathbf R,+)\) and \((\mathbf C,+)\) on complex manifolds
• Polynomially and rationally convex sets
• Volume-preserving automorphisms of C⊃n⊃

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