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

2006/05/16 by Elisabetta Barletta, Barletta, Elisabetta
Mathematics · #32V20 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0605423

openalex publication_date 2006/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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