Geometric Properties of the Triangular Ratio Metric and Related Metrics

Autor:	Xiaohui Zhang, Gendi Wang, Gaili Jia
Rok vydání:	2021
Předmět:	Distortion (mathematics) Unit sphere General Mathematics Mathematical analysis Metric (mathematics) Inclusion relation Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 44:4223-4237
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-021-01163-2
Popis:	We study the inclusion relation of the triangular ratio metric balls and the Cassinian metric balls in subdomains of $$\mathbb {R}^n$$ . Moreover, we study distortion properties of Mobius transformations with respect to the triangular ratio metric in the punctured unit ball.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7381f622017a0e5d7e39a63db88f3711 https://doi.org/10.1007/s40840-021-01163-2 Zobrazit plný text záznamu Plný text ve formátu PDF