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arXiv · 1312.0904

Carnot-Carath\'eodory Metrics in Unbounded Subdomains of $\mathbb{C}^2$

Aaron Peterson
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Abstract

We introduce a new class of unbounded model subdomains of $\mathbb{C}^2$ for the $\Box_b$ problem. Unlike previous finite type models, these domains need not be bounded by algebraic varieties. In this paper we obtain precise global estimates for the Carnot-Carath\'eodory metric induced on the boundary of such domains by the real and imaginary parts of the CR vector field.

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Aaron Peterson. 2013-12-03. Carnot-Carath\'eodory Metrics in Unbounded Subdomains of $\mathbb{C}^2$. https://doi.org/10.1007/s00013-014-0646-0

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