Lee Hwa Chung theorem


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.


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