On isometries of ℝ2πn

BAYAR A., KAYA R.

Hacettepe Journal of Mathematics and Statistics, cilt.40, sa.5, ss.673-679, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2011
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.673-679
  • Anahtar Kelimeler: Distance function, Group, Isometry, Metric
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group D2n and the translation group T (2).