Estimates for invariant metrics on $\Bbb C$-convex domains

TL;DR

This paper provides geometric bounds for invariant metrics on complex convex domains without complex lines, enhancing understanding of their geometric properties and metric behavior.

Contribution

It introduces new geometric estimates for invariant metrics specifically on -convex domains that contain no complex lines, filling a gap in the metric theory.

Findings

Established lower and upper bounds for invariant metrics.

Applied estimates to -convex domains without complex lines.

Enhanced understanding of metric geometry in complex analysis.

Abstract

Geometric lower and upper estimates are obtained for invariant metrics on $\Bbb C$-convex domains containing no complex lines.