SURFACE FAMILY WITH A COMMON ASYMPTOTIC CURVE IN MINKOWSKI 3-SPACE

Şaffak Atalay G., BAYRAM E., Kasap E.

JOURNAL OF SCIENCE AND ARTS, sa.2, ss.357-370, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.357-370
  • Anahtar Kelimeler: Minkowski 3-space, surface family, asymptotic curve, GALILEAN SPACE G(3), PARAMETRIC REPRESENTATION, PENCIL, CURVATURE, LINE
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we express surfaces parametrically through a given spacelike (timelike) asymptotic curve using the Frenet frame of the curve in Minkowski 3-space. Necessary and sufficient conditions for the coefficients of the Frenet frame to satisfy both parametric and asymptotic requirements are derived. We also present some interesting examples to show the validity of this study.