Growth of Some Hyperbolic Type Distances and Starlikeness of Metric Balls

被引:1
作者
Cao, Jiejun [1 ]
Zhang, Xiaohui [1 ]
机构
[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou, Peoples R China
基金
中国国家自然科学基金;
关键词
Hyperbolic type metric; Growth; Metric ball; Starlikeness; Convexity; LOCAL CONVEXITY PROPERTIES;
D O I
10.1007/s40840-023-01488-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is to study geometric properties of some hyperbolic type metrics, including the growth of distances along Euclidean line segments, bounds of metrics, and the starlikeness and convexity of metric balls.
引用
收藏
页数:18
相关论文
共 30 条
  • [1] Beardon AF., 2007, P INT WORKSH QUAS MA, P9
  • [2] Cao J., 2022, CONSTRUCTIONS UNPUB
  • [3] LIPSCHITZ CONDITIONS, TRIANGULAR RATIO METRIC, AND QUASICONFORMAL MAPPINGS
    Chen, Jiaolong
    Hariri, Parisa
    Klen, Riku
    Vuorinen, Matti
    [J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (02) : 683 - 709
  • [4] Local convexity of metric balls
    Hariri, Parisa
    Klen, Riku
    Vuorinen, Matti
    [J]. MONATSHEFTE FUR MATHEMATIK, 2018, 186 (02): : 281 - 298
  • [5] Some remarks on the Cassinian metric
    Hariri, Parisa
    Klen, Riku
    Vuorinen, Matti
    Zhang, Xiaohui
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4): : 269 - 285
  • [6] A new weighted metric:: the relative metric I
    Hästö, PA
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (01) : 38 - 58
  • [7] Balls in the Triangular Ratio Metric
    Hokuni, S.
    Klen, R.
    Li, Y.
    Vuorinen, M.
    [J]. COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS VI, PT 2: COMPLEX ANALYSIS, QUASICONFORMAL MAPPINGS, COMPLEX DYNAMICS, 2016, 667 : 105 - 123
  • [8] Ibragimov Z., 2009, Uzbek. Mat. Zh., P53
  • [9] Geometry of the Cassinian Metric and Its Inner Metric
    Ibragimov, Zair
    Mohapatra, Manas Ranjan
    Sahoo, Swadesh Kumar
    Zhang, Xiaohui
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (01) : 361 - 372
  • [10] HYPERBOLIZING METRIC SPACES
    Ibragimov, Zair
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (12) : 4401 - 4407