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.
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页码：107 / 114
页数：8
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