The Journal of Geometric Analysis

, Volume 5, Issue 3, pp 379–393 | Cite as

A theorem in complex symplectic geometry

  • Franc Forstneric


We prove that two simple, closed, real-analytic curves in C2n that are polynomially convex are equivalent under the group of symplectic holomorphic automorphisms of C2n if and only if the two curves have the same action integral. Every two simple real-analytic arcs in C2n are so equivalent.

Math Subject Classification

32M05 53C12 

Key Words and Phrases

Symplectic holomorphic maps Hamiltonian fields action 


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Copyright information

© Mathematica Josephina, Inc. 1995

Authors and Affiliations

  • Franc Forstneric
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadison

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