# Near geodesics in John domains in Banach spaces

```@article{Li2013NearGI,
title={Near geodesics in John domains in Banach spaces},
author={Yaxiang Li},
journal={arXiv: Complex Variables},
year={2013}
}```
• Yaxiang Li
• Published 14 March 2013
• Mathematics
• arXiv: Complex Variables
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.
1 Citations
Gromov hyperbolic John is quasihyperbolic John I
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In this paper, we introduce a concept of quasihyperbolic John spaces and provide a necessary and sufficient condition for a space to be quasihyperbolic John. Using this criteria, we exhibit a simple

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