John Erik Fornaess

An Estimate for the Squeezing Function and Estimates of Invariant Metrics

We give estimates for the squeezing function on strictly pseudoconvex domains, and derive some sharp estimates for the Caratheodory, Sibony and Azukawa metrics near their boundaries.

Estimate of the squeezing function for a class of bounded domains

We construct a class of bounded domains, on which the squeezing function is not uniformly bounded from below near a smooth and pseudoconvex boundary point.

Complex Geometry and Dynamics

In this paper we survey some recent contributions by the authors to the theory of null holomorphic curves in the complex Euclidean space

A Domain with Non-plurisubharmonic Squeezing Function

\mathbb C^3

Dynamics of transcendental Hénon maps

, as well as their applications to null holomorphic curves in the special linear group

Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains

SL_2(\mathbb C)

Geometric Methods of Complex Analysis

, minimal surfaces in the Euclidean space

Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type

\mathbb R^3

Boundary Behavior of the Bergman Metric

, and constant mean curvature one surfaces (Bryant surfaces) in the hyperbolic 3-space

Examples of minimal laminations and associated currents

\mathbb H^3