On symmetry of the pluricomplex Green function for ellipsoids

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Włodzimierz Zwonek Annales Polonici Mathematici 67 (1997), 121-129 DOI: 10.4064/ap-67-2-121-129

We show that in the class of complex ellipsoids the symmetry of the pluricomplex Green function is equivalent to convexity of the ellipsoid.