Global secondary CR invariants in dimension five

A global secondary CR invariant is defined as the integral of a pseudo-hermitian invariant which is independent of a choice of pseudo-Einstein contact form. We prove that any global secondary CR invariant on CR five-manifolds is a linear combination of the total $Q'$-curvature, the total $\mathcal{I}'$-curvature, and the integral of a local CR invariant.

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