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

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

2006-05-16

arxiv.org/abs/math/0605423v1

Mathematics

Complex Variables

14 pages

Scientific paper

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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