Space-like loxodromes on rotational surfaces in Minkowski 3-space

BABAARSLAN M., YAYLI Y.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.409, no.1, pp.288-298, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 409 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1016/j.jmaa.2013.06.035
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.288-298
  • Keywords: Loxodrome, Rotational surface, Lorentzian angle, Minkowski space
  • Yozgat Bozok University Affiliated: Yes

Abstract

We find all space-like loxodromes on rotational surfaces which have space-like meridians or time-like meridians, respectively by using a relevant Lorentzian angle in Minkowski 3-space. To understand loxodromes better, we draw some pictures of them via Mathematica computer program. (c) 2013 Elsevier Inc. All rights reserved.