On symmetry of the pluricomplex Green function for ellipsoids

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Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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

pluricomplex Green function, Lempert function, complex ellipsoid,

k ̃_{D}

-geodesic

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