Formal Definition
This is the definition for 6-manifolds. The definition in Hitchin's article is more general, but more abstract.
Let be a compact, oriented 6-manifold with trivial canonical bundle. Then the Hitchin functional is a functional on 3-forms defined by the formula:
where is a 3-form and * denotes the Hodge star operator.
Read more about this topic: Hitchin Functional
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