Abstract
We show that if a complete, doubling metric space is annularly linearly connected, then its conformal dimension is greater than one, quantitatively. As a consequence, we answer a question of Bonk and Kleiner: if the boundary of a one-ended hyperbolic group has no local cut points, then its conformal dimension is greater than one
Citation
John M. Mackay. "Spaces and groups with conformal dimension greater than one." Duke Math. J. 153 (2) 211 - 227, 1 June 2010. https://doi.org/10.1215/00127094-2010-023
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