On relaxed elastic lines of second kind on a curved hypersurface in the n-dimensional euclidean space

Sarıoğlugil A., Tutar A., Stachel H.

Journal for Geometry and Graphics, cilt.18, sa.1, ss.81-95, 2014 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2014
  • Dergi Adı: Journal for Geometry and Graphics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.81-95
  • Anahtar Kelimeler: Euler-Lagrange equation, Geodesic, Intrinsic equation, Relaxed elastic line
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, the relaxed elastic lines of second kind on an oriented surface in the Euclidean n-space are defined and the Euler-Lagrange equations are derived. Furthermore, an example is presented. Special emphasis is laid on the particular case when these curves are at the same time geodesic. © 2014 Heldermann Verlag.