SOME INVARIANT PROPERTIES OF CURVES IN THE TAXICAB GEOMETRY

被引：1
|
作者：
Oren, Idris [1 ]
Coban, H. Anil [1 ]
机构：
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
来源：
MISSOURI JOURNAL OF MATHEMATICAL SCIENCES | 2014年 / 26卷 / 02期
关键词：
Curve; Invariant parametriza-tion; Taxicab geometry;
D O I：
10.35834/mjms/1418931952
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E-T(2) be the group of all isometries of the 2-dimensional taxicab space R-T(2). For the taxicab group E-T(2), the taxicab type of curves is introduced. All possible taxicab types are found. For every taxicab type, an invariant parametrization of a curve is described. The E-T(2)-equivalence of curves is reduced to the problem of the E-T(2)-equivalence of paths.
引用
收藏
页码：107 / 114
页数：8
相关论文
共 50 条
  • [11] On the distance formulae in the generalized taxicab geometry
    Colakoglu, Harun Baris
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1578 - 1594
  • [12] Developing the concept of a parabola in Taxicab geometry
    Ada, Tuba
    Kurtulus, Aytac
    Yanik, H. Bahadir
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2015, 46 (02) : 264 - 283
  • [13] Invariant Curves of Some Discrete Dynamical Systems
    V. P. Varin
    Computational Mathematics and Mathematical Physics, 2022, 62 : 201 - 217
  • [14] Fractal properties of critical invariant curves
    Hunt, BR
    Khanin, KM
    Sinai, YG
    Yorke, JA
    JOURNAL OF STATISTICAL PHYSICS, 1996, 85 (1-2) : 261 - 276
  • [15] Invariant Curves of Some Discrete Dynamical Systems
    Varin, V. P.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (02) : 201 - 217
  • [16] THE NATURE OF LENGTH, AREA, AND VOLUME IN TAXICAB GEOMETRY
    Thompson, Kevin P.
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (02): : 193 - 207
  • [17] Exploring a Geometric Conjecture, Some Properties of Blaschke Products, and the Geometry of Curves Formed by Them
    Celik, Mehmet
    Duguin, Mathis
    Guo, Jia
    Luo, Dianlun
    Spinelli, Kamryn
    Zeytuncu, Yunus E.
    Zhu, Zhuoyu
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2025,
  • [18] Applying Skyline Operator and Taxicab Geometry to Identify Optimal Locations for Establishing Business Properties
    Ghosh, Leena Jana
    Goto, Takaaki
    Roy, Subhankar
    Das, Subhashis
    Sen, Mainak
    Ghosh, Partha
    COMPUTER APPLICATIONS IN INDUSTRY AND ENGINEERING, CAINE 2024, 2025, 2242 : 202 - 209
  • [19] ON THE ERDOS-MORDELL INEQUALITY FOR TRIANGLES IN TAXICAB GEOMETRY
    Petrovic, Maja
    Malesevic, Branko J.
    Banjac, Bojan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (04): : 1299 - 1319
  • [20] Taxicab Geometry Based Analysis on Skyline for Business Intelligence
    Ghosh, Partha
    Goto, Takaaki
    Sen, Soumya
    INTERNATIONAL JOURNAL OF SOFTWARE INNOVATION, 2018, 6 (04) : 86 - 102
12345