Time-like Loxodromes on Helicoidal Surfaces in Minkowski 3-Space

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BABAARSLAN M., Kayacik M.

FILOMAT, vol.31, no.14, pp.4405-4414, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 14
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1714405b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4405-4414
  • Keywords: Loxodrome, Helicoidal surface, Minkowski space, SPACE
  • Yozgat Bozok University Affiliated: Yes

Abstract

Loxodromes in Euclidean 3-space are often used in navigation. We study time-like loxodromes which cut all meridians on helicoidal surfaces at a constant Lorentzian angle in Minkowski 3-space.