Fitzi, Martin Wenger, Stefan 2020 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. application/pdf https://folia.unifr.ch/global/documents/308845 https://folia.unifr.ch/documents/308845/files/wen_mec.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/15065 info:eu-repo/semantics/openAccess License undefined Proceedings of the American Mathematical Society. - 2020, vol. 148, no. 10, p. 4285–4298 info:eu-repo/classification/udc/51 Morrey’s 𝜖-conformality lemma in metric spaces http://purl.org/coar/resource_type/c_6501