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arxiv: math/0605423 · v1 · submitted 2006-05-16 · 🧮 math.CV

On the boundary behavior of the holomorphic sectional curvature of the Bergman metric

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keywords curvaturesectionalbergmanboundaryholomorphicmetricapproachesball
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We obtain a conceptually new differential geometric proof of P.F. Klembeck's result that the holomorphic sectional curvature of a strictly pseudoconvex domain approaches (in the boundary limit) the constant sectional curvature of the Bergman metric of the unit ball.

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