Geodesic
Concave domains with trivial biholomorphic invariants
Witold Jarnicki1 ; Nikolai Nikolov2
1Institute of Mathematics Jagiellonian University 30-059 Krak/ow, Poland
2Institute of Mathematics and Informatics Bulgarian Academy of Sciences 1113 Sofia, Bulgaria
Annales Polonici Mathematici, Tome 79 (2002) no. 1, pp. 63-66
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It is proved that if $F$ is a convex closed set in ${\mathbb C}^n$, $n\ge 2,$ containing at most one $(n-1)$-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ${\mathbb C}^n\setminus F$ identically vanish.
DOI : 10.4064/ap79-1-5
Keywords: proved convex closed set mathbb containing n dimensional complex hyperplane kobayashi metric lempert function mathbb setminus identically vanish

Witold Jarnicki  1   ; Nikolai Nikolov  2

1 Institute of Mathematics Jagiellonian University 30-059 Krak/ow, Poland
2 Institute of Mathematics and Informatics Bulgarian Academy of Sciences 1113 Sofia, Bulgaria 
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Witold Jarnicki; Nikolai Nikolov. Concave domains with trivial biholomorphic invariants. Annales Polonici Mathematici, Tome 79 (2002) no. 1, pp. 63-66. doi: 10.4064/ap79-1-5

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