Boundary behaviour of the Fefferman--Szeg\"o metric in strictly pseudoconvex domains

TL;DR

This paper investigates how the Fefferman--Szeg"o metric and related invariants behave near the boundary of smooth, strictly pseudoconvex domains, providing insights into complex geometric analysis.

Contribution

It offers a detailed analysis of the boundary behavior of the Fefferman--Szeg"o metric in smooth strictly pseudoconvex domains, advancing understanding of their geometric properties.

Findings

Characterization of boundary asymptotics of the Fefferman--Szeg"o metric

Identification of invariants influencing boundary behavior

Insights into complex geometric structures near the boundary

Abstract

We study the boundary behaviour of the Fefferman--Szeg\"o metric and several associated invariants in a $C^\infty$-smoothly bounded strictly pseudoconvex domain.