Concave domains with trivial biholomorphic invariants
Witold Jarnicki ; Nikolai Nikolov
Annales Polonici Mathematici, Tome 79 (2002), p. 63-66 / Harvested from The Polish Digital Mathematics Library
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It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:280509 
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Witold Jarnicki; Nikolai Nikolov. Concave domains with trivial biholomorphic invariants. Annales Polonici Mathematici, Tome 79 (2002) pp. 63-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-1-5/