Surfaces family with common null asymptotic

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Şaffak Atalay G., Kasap E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.260, ss.135-139, 2015 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 260
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.03.067
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.135-139
  • Anahtar Kelimeler: Cartan frame, Asymptotic curve, Common asymptotic, Null curve, PARAMETRIC REPRESENTATION, PENCIL
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We analyzed the problem of finding a surfaces family through an asymptotic curve with Carton frame. We obtain the parametric representation for surfaces family whose members have the same as an asymptotic curve. By using the Cartan frame of the given null curve, we present the surface as a linear combination of this frame and analyzed the necessary and sufficient condition for that curve to satisfy the asymptotic requirement We illustrate the method by giving some examples. (C) 2015 Elsevier Inc. All rights reserved.