Comparison of invariant functions on strongly pseudoconvex domains
classification
🧮 math.CV
keywords
almostdistancepseudoconvexstronglyadditionbergmanboundarycarath
read the original 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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