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

Tutar A., Sarioglugil A.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.27, sa.11, ss.1481-1489, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 11
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10483-006-1105-z
  • Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1481-1489
  • Anahtar Kelimeler: elastic line, geodesic, Minkowski space, Euler-Lagrange equations
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.