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

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SÖNMEZ N., BABAARSLAN M.

FILOMAT, vol.32, no.14, pp.4821-4839, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 14
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1814821s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4821-4839
  • Keywords: Loxodrome, Canal surface, Minkowski space
  • Yozgat Bozok University Affiliated: Yes

Abstract

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.