SURFACE FAMILY WITH A COMMON NATURAL LINE OF CURVATURE LIFT

Ergün E., BAYRAM E., Kasap E.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.321-328, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.321-328
  • Anahtar Kelimeler: suface curve, curvature lift, differential geometry, PARAMETRIC REPRESENTATION, PENCIL
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We construct a surface family possessing a natural lift of a given curve as a line of curvature. We obtain necessary and sufficient condition for the given curve such that its natural lift is a line of curvature on any member of the surface family. Finally, we present some illustrative examples.