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arXiv · 1905.08981

Sublinear quasiconformality and the large-scale geometry of Heintze groups

Gabriel Pallier
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Abstract

This article analyzes sublinearly quasisymmetric homeo-morphisms (generalized quasisymmetric mappings), and draws applications to the sublinear large-scale geometry of negatively curved groups and spaces. It is proven that those homeomorphisms lack analytical properties but preserve a conformal dimension and appropriate function spaces, distinguishing certain (nonsymmetric) Riemannian negatively curved homogeneous spaces, and Fuchsian buildings, up to sublinearly biLipschitz equivalence (generalized quasiisometry).

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Gabriel Pallier. 2019-05-22. Sublinear quasiconformality and the large-scale geometry of Heintze groups. https://arxiv.org/abs/1905.08981

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