On symmetry of the pluricomplex Green function for ellipsoids
Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 121-129
We show that in the class of complex ellipsoids the symmetry of the pluricomplex Green function is equivalent to convexity of the ellipsoid.
Keywords:
pluricomplex Green function, Lempert function, complex ellipsoid, $k̃_D$-geodesic
@article{10_4064_ap_67_2_121_129,
author = {W{\l}odzimierz Zwonek},
title = {On symmetry of the pluricomplex {Green} function for ellipsoids},
journal = {Annales Polonici Mathematici},
pages = {121--129},
year = {1997},
volume = {67},
number = {2},
doi = {10.4064/ap-67-2-121-129},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-67-2-121-129/}
}
TY - JOUR AU - Włodzimierz Zwonek TI - On symmetry of the pluricomplex Green function for ellipsoids JO - Annales Polonici Mathematici PY - 1997 SP - 121 EP - 129 VL - 67 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-67-2-121-129/ DO - 10.4064/ap-67-2-121-129 LA - en ID - 10_4064_ap_67_2_121_129 ER -
Włodzimierz Zwonek. On symmetry of the pluricomplex Green function for ellipsoids. Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 121-129. doi: 10.4064/ap-67-2-121-129
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