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arxiv:1912.07928

On five papers by Herbert Gr{ö}tzsch

Published on Dec 17, 2019
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Abstract

Grötzsch's foundational work on quasiconformal mappings is reviewed through five papers from 1928 to 1932, tracing the development from conformal to quasiconformal geometry.

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Herbert Gr{ö}tzsch is the main founder of the theory of quasicon-formal mappings. We review five of his papers, written between 1928 and 1932, that show the progress of his work from conformal to quasiconformal geometry. This will give an idea of his motivation for introducing quasicon-formal mappings, of the problems he addressed and on the results he obtained concerning these mappings. The final version of this paper will appear in Vol. VII of the Handbook of Teichm{ü}ller theory.

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