Global secondary CR invariants in dimension five

Abstract

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 $Q^{\prime }$-curvature, the total ${\mathcal{I}}^{\prime }$-curvature, and the integral of a local CR invariant.

12pages