# Lee Hwa Chung theorem

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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 &omega;. 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, $alpha = c imes omega^\left\{wedge frac\left\{k\right\}\left\{2$, where $c in Bbb\left\{R\right\}.$

References

* Lee, John M., "Introduction to Smooth Manifolds", Springer-Verlag, New York (2003) ISBN 0-387-95495-3. Graduate-level textbook on smooth manifolds.

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