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

Elisabetta Barletta

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

Elisabetta Barletta

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Abstract

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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Elisabetta Barletta. 2006-05-16. On the boundary behavior of the holomorphic sectional curvature of the Bergman metric. https://arxiv.org/abs/math/0605423

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