An example of a pseudoconvex domain whose holomorphic sectional curvature of the Bergman metric is unbounded
نویسندگان
چکیده
منابع مشابه
On the boundary behavior of the holomorphic sectional curvature of the Bergman metric
We obtain a conceptually new differential geometric proof of P.F. Klembeck’s result (cf. [9]) that the holomorphic sectional curvature kg(z) of the Bergman metric of a strictly pseudoconvex domain Ω ⊂ C approaches −4/(n + 1) (the constant sectional curvature of the Bergman metric of the unit ball) as z → ∂Ω.
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2007
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap92-1-3