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 strictly pseudoconvex 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.

中文翻译：

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维度 5 中的全局次要 CR 不变量

全局次要 CR 不变量被定义为伪厄米不变量的积分，它与伪爱因斯坦接触形式的选择无关。我们证明了严格伪凸 CR 五流形上的任何全局次要 CR 不变量是总的线性组合${问}^{\prime }$-曲率，总 ${\mathcal{一世}}^{\prime }$-curvature 和局部 CR 不变量的积分。