SOME INVARIANT PROPERTIES OF CURVES IN THE TAXICAB GEOMETRY

Ören İ., Çoban H. A.

MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, cilt.26, sa.2, ss.107-114, 2014 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.35834/mjms/1418931952
  • Dergi Adı: MISSOURI JOURNAL OF MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.107-114
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.