Space-like Loxodromes on the Canal Surfaces in Minkowski 3-Space

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SÖNMEZ N., BABAARSLAN M.

FILOMAT, cilt.32, sa.14, ss.4821-4839, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 14
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1814821s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4821-4839
  • Anahtar Kelimeler: Loxodrome, Canal surface, Minkowski space
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we obtain the differential equations of the space-like loxodromes on the non-degenerate canal surfaces depending on the causal characters of these canal surfaces and their meridians in Minkowski 3-space. Also we give an example by using Mathematica computer programme.