五维空间中的全局次CR不变量
Global secondary CR invariants in dimension five
摘要:
一个全球次级CR不变量被定义为一个伪埃尔米特不变量,这是独立的伪爱因斯坦接触形式的选择的积分。我们证明了CR五维流形上的任何全局次CR不变量都是全$Q'$ -曲率、全$\mathcal{I}'$ -曲率和局部CR不变量的积分的线性组合.
英文摘要:
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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