Near geodesics in John domains in Banach spaces
Abstract
Let $E$ be a real Banach space with dimension at least 2. In this paper, we prove that if $D\subset E$ is a John domain which is homeomorphic to an inner uniform domain via a CQH map, then each neargeodesic in $D$ is a cone arc.
 Publication:

arXiv eprints
 Pub Date:
 March 2013
 arXiv:
 arXiv:1303.3335
 Bibcode:
 2013arXiv1303.3335L
 Keywords:

 Mathematics  Complex Variables;
 Mathematics  Metric Geometry
 EPrint:
 revised in IJM. arXiv admin note: text overlap with arXiv:1104.5128, arXiv:1206.0128 by other authors