Surfaces family with common null asymptotic

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Şaffak Atalay G., Kasap E.

APPLIED MATHEMATICS AND COMPUTATION, vol.260, pp.135-139, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 260
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.03.067
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.135-139
  • Keywords: Cartan frame, Asymptotic curve, Common asymptotic, Null curve, PARAMETRIC REPRESENTATION, PENCIL
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.