Is there a Teichmüller principle in higher dimensions?
arXiv:1704.07418
Abstract
The underlying theme of Teichmüller'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 Teichmüller's principle to several complex variables. This approach is based on the Loewner differential equation.