On the Approaching Geodesic Property via the Quotient Invariant

TL;DR

This paper investigates the approaching geodesic property of bounded domains in complex space using the quotient invariant and Kobayashi distance, providing insights into their geometric structure.

Contribution

It introduces a new approach to analyze the approaching geodesic property via the quotient invariant in complex analysis.

Findings

Characterization of the approaching geodesic property using the quotient invariant

Connections between the property and the Kobayashi distance in complex domains

Potential applications to complex geometric analysis

Abstract

We study the approaching geodesic property of a bounded domain in $\mathbb{C}^{n}$ with respect to the Kobayashi distance using the quotient invariant.