Is there a Teichm\"uller principle in higher dimensions?

Oliver Roth

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arXiv · 1704.07418

Is there a Teichm\"uller principle in higher dimensions?

Oliver Roth

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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.

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Oliver Roth. 2017-04-24. Is there a Teichm\"uller principle in higher dimensions?. https://arxiv.org/abs/1704.07418

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