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

References

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