paper

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

arXiv:math/0605423

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.

14 pages

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