تقرير
A new metric associated with the domain boundary
| العنوان: | A new metric associated with the domain boundary |
|---|---|
| المؤلفون: | Song, Xingchen, Wang, Gendi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, 30F45(51E05) |
| الوصف: | In this paper, we introduce a new metric $\tilde{c}$ which is associated with the domain boundary for a Ptolemy space $(X,d)$. Moreover, we study the inclusion relation of the $\tilde{c}$ metric balls and some related hyperbolic type metric balls in subdomains of $\mathbb{R}^n$. In addition, we study distortion properties of M\"obius transformations with respect to the $\tilde{c}$ metric in the unit ball and the quasiconformality of bilipschitz mappings in $\tilde{c}$ metric. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.08890 |
| رقم الأكسشن: | edsarx.2306.08890 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |