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PATHWISE CONNECTIVITY OF A CONFORMAL BOUNDARY
Published online by Cambridge University Press: 13 August 2003
Abstract
This paper demonstrates that, in dimensions $n\ge 3$, the metric boundary of a conformal deformation of the unit ball is pathwise connected, and even of bounded turning, provided that the conformal scaling factor satisfies a Harnack inequality and the volume growth of the deformed space is at most euclidean.
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- © The London Mathematical Society 2003