Indecomposable Quasiconformal Maps of Manifolds
arXiv:2605.21894
Abstract
We demonstrate the existence of quasiconformal mappings on closed manifolds (dimension at least 5) that cannot be decomposed as a composition of mappings with arbitrarily small conformal distortion. This answers in the negative the global version of a classical question of Gehring.
18 pages. Comments welcome! Version 2: Readability tweaks. AI: Used only for grammar check