From local to global in quasiconformal structures.

@article{Heinonen1996FromLT,
  title={From local to global in quasiconformal structures.},
  author={Johannes Heinonen and Pekka Koskela},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={1996},
  volume={93 2},
  pages={554-6}
}
We exhibit a large class of metric spaces whose infinitesimal quasiconformal structure is strong enough to capture the global quasiconformal structure. A sufficient condition for this to happen is described in terms of a Poincaré-type inequality. 
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