Hypersurface Family with a Common Isoasymptotic Curve

BAYRAM E., KASAP E.

Geometry, cilt.2014, ss.1-6, 2014 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/623408
  • Dergi Adı: Geometry
  • Sayfa Sayıları: ss.1-6
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, we handle the problem of finding a hypersurface family from a given asymptotic curve in R^4. Using the Frenet frame of the given asymptotic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be asymptotic. We illustrate this method by presenting some examples.