Lee Hwa Chung theorem

The Lee Hwa Chung theorem is a theorem in symplectic topology.

The statement is as follows. Let M be a symplectic manifold with symplectic form ω. Let \alpha be a differential k-form on M which is invariant for all Hamiltonian vector fields. Then:

  • If k is odd, \alpha=0.
  • If k is even, \alpha = c \times \omega^{\wedge \frac{k}{2}}, where c \in \Bbb{R}.

References


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