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math.MG2022
Some remarks on the Gehring-Hayman theorem
Sari Rogovin, Hyogo Shibahara, Qingshan Zhou
In this paper we provide new characterizations of the Gehring-Hayman theorem from the point of view of Gromov boundary and uniformity. We also determine the critical exponents for…
math.MG2020
Sphericalization with its applications in Gromov hyperbolic spaces
Qingshan Zhou, Yaxiang Li, Xining Li
In this paper, we study certain applications of sphericalization in Gromov hyperbolic metric spaces. We first show that the doubling property regarding two classes of metrics on th…