On Relaxed Elastic Lines of the Second Type on an Oriented Surface in the Galilean Space G(3)

Sarıoğlugil A., Stachel H., Tutar A.

RESULTS IN MATHEMATICS, cilt.71, sa.3-4, ss.955-982, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 3-4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00025-017-0663-y
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.955-982
  • Anahtar Kelimeler: Elastic curve, Galilean space, Geodesics, Euler-Lagrange equations
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, the relaxed elastic line of the second type on an oriented surface in the Galilean space G(3) is defined. For the relaxed elastic lines of the second type which are lying on a given oriented surface the Euler-Lagrange equations are derived. In particular, we investigate whether they can be geodesic or curvature lines. In the last section we present some examples to confirm our claim.