Relaxed elastic lines of second kind on oriented surface in Minkowski space

Tutar A., Sarioglugil A.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol.27, no.11, pp.1481-1489, 2006 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 11
  • Publication Date: 2006
  • Doi Number: 10.1007/s10483-006-1105-z
  • Journal Name: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1481-1489
  • Keywords: elastic line, geodesic, Minkowski space, Euler-Lagrange equations
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The relaxed elastic line of second kind on an oriented surface in the Minkowski space was defined and for the relaxed elastic line of second kind which is lying on an oriented surface the Euler-Lagrange equations were derived. Furthermore, whether these curves lie on a curvature line or not was investigated and some applications were given.