We show that in the class of complex ellipsoids the symmetry of the pluricomplex Green function is equivalent to convexity of the ellipsoid.
@article{bwmeta1.element.bwnjournal-article-apmv67z2p121bwm,
author = {W\l odzimierz Zwonek},
title = {On symmetry of the pluricomplex Green function for ellipsoids},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {121-129},
zbl = {0884.31006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv67z2p121bwm}
}
Włodzimierz Zwonek. On symmetry of the pluricomplex Green function for ellipsoids. Annales Polonici Mathematici, Tome 66 (1997) pp. 121-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv67z2p121bwm/
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