تقرير
A Gromov Hyperbolic metric and M\'obius transformations
| العنوان: | A Gromov Hyperbolic metric and M\'obius transformations |
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| المؤلفون: | Xu, Xiaoxue, Wang, Gendi, Zhang, Xiaohui |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables |
| الوصف: | We compare a Gromov hyperbolic metric with the hyperbolic metric in the unit ball or in the upper half space, and prove sharp comparison inequalities between the Gromov hyperbolic metric and some hyperbolic type metrics. We also obtain several sharp distortion inequalities for the Gromov hyperbolic metric under some families of M\"{o}bius transformations. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.04087 |
| رقم الأكسشن: | edsarx.2006.04087 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |