Geometry of Hasimoto Surfaces in Minkowski 3-Space

Erdogdu M., ÖZDEMİR M.

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, cilt.17, sa.1-2, ss.169-181, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1-2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s11040-014-9148-3
  • Dergi Adı: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.169-181
  • Anahtar Kelimeler: Hasimoto surface, Smoke ring equation, Binormal motion, BINORMAL MOTION, SOLITON, CURVES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the Hasimoto surfaces in Minkowski 3-space. We discussed the geometric properties of Hasimoto surfaces in M-3 for three cases. The Gaussian and mean curvature of Hasimoto surface are found for each case. Then, we give the characterization of parameter curves of Hasimoto surfaces in M-3