Support points and the Bieberbach conjecture in higher dimension

TL;DR

This paper explores open questions about support points in the class S^0 and introduces techniques aimed at addressing a higher dimensional Bieberbach conjecture.

Contribution

It presents new questions and methods related to support points and the Bieberbach conjecture in higher dimensions.

Findings

Identification of open questions in support points

Introduction of techniques for higher dimensional Bieberbach conjecture

Progress towards understanding complex geometric function theory

Abstract

We describe some open questions related to support points in the class $S^0$ and introduce some useful techniques toward a higher dimensional Bieberbach conjecture.