Concave domains with trivial biholomorphic invariants

@article{WitoldJarnicki2002,
abstract = {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.},
author = {Witold Jarnicki, Nikolai Nikolov},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic mapping; Kobayashi metric; Lempert function; concave domain in },
language = {eng},
number = {1},
pages = {63-66},
title = {Concave domains with trivial biholomorphic invariants},
url = {http://eudml.org/doc/280509},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Witold Jarnicki
AU - Nikolai Nikolov
TI - Concave domains with trivial biholomorphic invariants
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 1
SP - 63
EP - 66
AB - 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.
LA - eng
KW - holomorphic mapping; Kobayashi metric; Lempert function; concave domain in
UR - http://eudml.org/doc/280509
ER -