Geodesic
On the Bergman distance on model domains in $\mathbb C^n$
Gregor Herbort1
1 Fachbereich Mathematik und Naturwissenschaften Bergische Universität Wuppertal D-42097 Wuppertal, Germany
Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 1-36.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $P$ be a real-valued and weighted homogeneous plurisubharmonic polynomial in $\mathbb C^{n-1}$ and let $D$ denote the ‶model domain″ $\{z \in \mathbb C^n\mid r(z):= \mathop{\rm Re} z_1 + P(z') 0\}$. We prove a lower estimate on the Bergman distance of $D$ if $P$ is assumed to be strongly plurisubharmonic away from the coordinate axes.
DOI : 10.4064/ap3752-12-2015
Keywords: real valued weighted homogeneous plurisubharmonic polynomial mathbb n denote model domain mathbb mid mathop prove lower estimate bergman distance assumed strongly plurisubharmonic away coordinate axes

Gregor Herbort 1

1 Fachbereich Mathematik und Naturwissenschaften Bergische Universität Wuppertal D-42097 Wuppertal, Germany 
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Gregor Herbort. On the Bergman distance on model domains in $\mathbb C^n$. Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 1-36. doi : 10.4064/ap3752-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/ap3752-12-2015/

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