For a domain D ⊂ ℂ the Kobayashi-Royden ϰ and Hahn h pseudometrics are equal iff D is simply connected. Overholt showed that for , n ≥ 3, we have . Let D₁, D₂ ⊂ ℂ. The aim of this paper is to show that iff at least one of D₁, D₂ is simply connected or biholomorphic to ℂ 0. In particular, there are domains D ⊂ ℂ² for which .
@article{bwmeta1.element.bwnjournal-article-apmv75z3p289bwm,
author = {Witold Jarnicki},
title = {Kobayashi-Royden vs. Hahn pseudometric in $\mathbb{C}$$^2$},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {289-294},
zbl = {0982.32012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv75z3p289bwm}
}
Witold Jarnicki. Kobayashi-Royden vs. Hahn pseudometric in ℂ². Annales Polonici Mathematici, Tome 75 (2000) pp. 289-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv75z3p289bwm/
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