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arXiv · 1708.02240

Observations on quasihyperbolic geometry modeled on Banach spaces

Antti Rasila·Jarno Talponen·Xiaohui Zhang
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Abstract

In this paper, we continue our study of quasihyperbolic metric in Banach spaces. The main results of the paper present a criterion for smoothness of geodesics of quasihyperbolic type metrics in Banach spaces, under a Dini type condition on the weight function, which improves an earlier result of the two first authors. We also answer to a question posed by the two first authors in an earlier paper with R. Kl\'en, and present results related to the question on smoothness of quasihyperbolic balls.

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Antti Rasila, Jarno Talponen, Xiaohui Zhang. 2017-08-07. Observations on quasihyperbolic geometry modeled on Banach spaces. https://arxiv.org/abs/1708.02240

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