Extremal metrics on Hartogs domains
classification
🧮 math.DG
math.CV
keywords
dimensionalextremalhartogsmetricbiholomorphicallyboundarycomplexdomain
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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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