التفاصيل البيبلوغرافية
| العنوان: |
Sphericalization with its applications in Gromov hyperbolic spaces |
| المؤلفون: |
Zhou, Qingshan, Li, Yaxiang, Li, Xining |
| سنة النشر: |
2020 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Metric Geometry, Mathematics - Complex Variables |
| الوصف: |
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 the Gromov boundary of hyperbolic spaces are coincided. Next, we obtain a characterization of unbounded Gromov hyperbolic domains via metric spaces sphericalization. Finally, we investigate the topological equivalence of Gromov hyperbolic $\varphi$-uniform domains between the Gromov boundary and the inner metric boundary. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2009.13706 |
| رقم الانضمام: |
edsarx.2009.13706 |
| قاعدة البيانات: |
arXiv |