Is there a Teichm\"uller principle in higher dimensions?
Complex Variables
2018-01-19 v2 Optimization and Control
Abstract
The underlying theme of Teichm\"uller's papers in function theory is a general principle which asserts that every extremal problem for univalent functions of one complex variable is connected with an associated quadratic differential. The purpose of this paper is to indicate a possible way of extending Teichm\"uller's principle to several complex variables. This approach is based on the Loewner differential equation.
Cite
@article{arxiv.1704.07418,
title = {Is there a Teichm\"uller principle in higher dimensions?},
author = {Oliver Roth},
journal= {arXiv preprint arXiv:1704.07418},
year = {2018}
}