The Wu metric is not upper semicontinuous

Jucha, Piotr

doi:10.1090/S0002-9939-07-09135-6

The Wu metric is not upper semicontinuous
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Proc. Amer. Math. Soc. 136 (2008), 1349-1358 Request permission

Abstract:

We give an example of a bounded pseudoconvex domain in $\mathbb {C}^n$, the Wu metric of which (associated to the Kobayashi–Royden or the Azukawa metric) is not upper semicontinuous.

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