Estimates for the squeezing function near strictly pseudoconvex boundary points with applications

Abstract

An extension of the estimates for the squeezing function of strictly pseudoconvex domains obtained recently by J. E. Fornæss and E. Wold in \cite{FW1} is applied to derive a sharp boundary behaviour of invariant metrics and Bergman curvatures.

v2: minor changes; to appear in J. Geom. Anal

References in corpus (3)

• A non-strictly pseudoconvex domain for which the squeezing function tends to one towards the boundary
• Boundary behavior of the squeezing functions of $\mathbb{C}$-convex domains and plane domains
• Asymptotic boundary behavior of the Bergman curvatures of a pseudoconvex domain

Cited by in corpus (1)

• Some remarks on the Kobayashi--Fuks metric on strongly pseudoconvex domains