Sublinear quasiconformality and the large-scale geometry of Heintze groups.

@article{Pallier2019SublinearQA,
  title={Sublinear quasiconformality and the large-scale geometry of Heintze groups.},
  author={Gabriel Pallier},
  journal={arXiv: Metric Geometry},
  year={2019}
}
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… Expand
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