SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

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ÖZDEMİR M., Şimşek H.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.52, sa.6, ss.2071-2093, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4134/bkms.2015.52.6.2071
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2071-2093
  • Anahtar Kelimeler: Lorentzian similarity geometry, similarity transformation, similarity invariants, similar curves, self-similar curves, MANIFOLDS, FRACTALS, MOTION, HIERARCHIES, RECOGNITION, EQUATIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of E-1(n). We determine the parametrizations of non-null self-similar curves in E-1(n).