Can I read Morrey's $\Varepsilon$-conformality Lemma in Metric Spaces on EtoBox?

Morrey's $\Varepsilon$-conformality Lemma in Metric Spaces by Fitzi, Martin; Wenger, Stefan is a scholarly article available to read on EtoBox.

What is Morrey's $\Varepsilon$-conformality Lemma in Metric Spaces about?

We provide a simpler proof and slight strengthening of Morrey's famous lemma on $\varepsilon$-conformal mappings. Our result more generally applies to Sobolev maps with values in a complete metric space and we obtain applications to the existence of area minimizing surfaces of higher genus in metric spaces. Unlike Morrey's proof, which relies on the measurable Riemann mapping theorem, we only need the existence of smooth isothermal coordinates established by Korn and Lichtenstein.

Author

Fitzi, Martin; Wenger, Stefan

Published

2019

Language

EN