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arXiv · 1212.2428

Comparison of invariant functions on strongly pseudoconvex domains

Nikolai Nikolov
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Abstract

It is shown that the Carath\'eodory distance and the Lempert function are almost the same on any strongly pseudoconvex domain in $\C^n;$ in addition, if the boundary is $C^{2+\eps}$-smooth, then $\sqrt{n+1}$ times one of them almost coincides with the Bergman distance.

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Nikolai Nikolov. 2012-12-11. Comparison of invariant functions on strongly pseudoconvex domains. https://arxiv.org/abs/1212.2428

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