Hypersurface Family with a Common Isoasymptotic Curve
Geometry, cilt.2014, ss.1-6, 2014 (Hakemli Dergi)
- 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.