Quasihyperbolic metric and Gromov hyperbolic spaces I

Hongjun Liu; Ling Xia; Shasha Yan

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arXiv · 2409.12006

Quasihyperbolic metric and Gromov hyperbolic spaces I

Hongjun Liu·Ling Xia·Shasha Yan

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Abstract

In this paper, we introduce the concepts of short arc and length map in quasihyperbolic metric spaces, and obtain some geometric characterizations of Gromov hyperbolicity for quasihyperbolic metric spaces in terms of the properties of short arc and length map.

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BibTeX RIS

Hongjun Liu, Ling Xia, Shasha Yan. 2024-11-10. Quasihyperbolic metric and Gromov hyperbolic spaces I. https://arxiv.org/abs/2409.12006

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