Near geodesics in John domains in Banach spaces
Complex Variables
2014-04-02 v3 Metric Geometry
Abstract
Let be a real Banach space with dimension at least 2. In this paper, we prove that if is a John domain which is homeomorphic to an inner uniform domain via a CQH map, then each neargeodesic in is a cone arc.
Cite
@article{arxiv.1303.3335,
title = {Near geodesics in John domains in Banach spaces},
author = {Yaxiang Li},
journal= {arXiv preprint arXiv:1303.3335},
year = {2014}
}
Comments
revised in IJM. arXiv admin note: text overlap with arXiv:1104.5128, arXiv:1206.0128 by other authors