Surface Pencil with a Common Line of Curvature in Minkowski 3-Space

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Ergün E., BAYRAM E., Kasap E.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.30, sa.12, ss.2103-2118, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 12
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10114-014-1502-7
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2103-2118
  • Anahtar Kelimeler: Minkowski space, line of curvature, surface pencil, PARAMETRIC REPRESENTATION
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. We illustrate this method by presenting some examples.