Extremal metrics on Hartogs domains

Details Extremal metrics on Hartogs domains Extremal metrics on Hartogs domains

2007-05-15

arxiv.org/abs/0705.2124v1

Mathematics

Differential Geometry

14 pages

Scientific paper

An $n$-dimensional Hartogs domain $D_F$ with strongly pseudoconvex boundary
can be equipped with a natural \K metric $g_F$. In this paper we prove that if
$g_F$ is an extremal \K metric then $(D_F, g_F)$ is biholomorphically isometric
to the $n$-dimensional complex hyperbolic space.

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