Loxodromes on non-degenerate helicoidal surfaces in Minkowski space-time


BABAARSLAN M., SÖNMEZ N.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.52, no.4, pp.1212-1228, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.1007/s13226-021-00030-x
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.1212-1228
  • Keywords: Helicoidal surface, Loxodrome, Minkowski space–time
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this article, we first study a class of helicoidal surfaces in Minkowski space-time E-1(4). Next, we find the parametrizations of loxodromes on the non-degenerate helicoidal surfaces in E-1(4). In addition, we give some results and examples by using Mathematica.