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

页码：107 / 114

页数：8

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