Surfaces with common geodesic in Minkowski 3-space

Kasap E., Akyildiz F. T.

APPLIED MATHEMATICS AND COMPUTATION, cilt.177, sa.1, ss.260-270, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 177 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.11.005
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.260-270
  • Anahtar Kelimeler: Minkowski space, geodesic curve, ruled surface
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we analyzed the problem of constructing a family of surfaces from a given spacelike (or timelike) geodesic curve. Using the Frenet trihedron frame of the curve in Minkowski space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for the coefficients to satisfy both the geodesic and the isoparametric requirements. Finally, examples are given to show the family of surfaces with common geodesic. (c) 2005 Elsevier Inc. All rights reserved.