We develop the notion of renormalized energy in Cauchy–Riemann (CR) geometry for maps from a strictly pseudoconvex pseudo-Hermitian manifold to a Riemannian manifold. This energy is a CR invariant functional whose critical points, which we call CR-harmonic maps, satisfy a CR covariant partial differential equation. The corresponding operator coincides on functions with the CR Paneitz operator.

中文翻译：

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CR-谐波映射

我们在 Cauchy-Riemann (CR) 几何中为从严格伪凸伪厄米流形到黎曼流形的映射开发了重整化能量的概念。该能量是一个 CR 不变量泛函，其临界点（我们称为 CR 调和图）满足 CR 协变偏微分方程。相应的算子在功能上与 CR Paneitz 算子一致。