# Invariant holomorphic discs in some non-convex domains

## TL;DR

This paper explores the structure of invariant holomorphic discs and complex geodesics in certain non-convex domains where uniqueness of geodesics fails, providing new insights into their geometric properties.

## Contribution

It offers a detailed description of complex geodesics and stationary discs in non-convex domains, highlighting cases with non-unique geodesics, which was previously less understood.

## Key findings

- Characterization of complex geodesics in non-convex domains
- Analysis of stationary discs where geodesics are not unique
- Insights into the geometric structure of these domains

## Abstract

We give a description of complex geodesics and we study the structure of stationary discs in some non-convex domains for which complex geodesics are not unique.