SOME INVARIANT PROPERTIES OF CURVES IN THE TAXICAB GEOMETRY
MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, vol.26, no.2, pp.107-114, 2014 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 26 Issue: 2
- Publication Date: 2014
- Doi Number: 10.35834/mjms/1418931952
- Journal Name: MISSOURI JOURNAL OF MATHEMATICAL SCIENCES
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.107-114
- Karadeniz Technical University Affiliated: Yes
Abstract
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.