- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 66 Issue: 1
- On surfaces with common pseudo null geodesic in Minkowski 3-space
On surfaces with common pseudo null geodesic in Minkowski 3-space
Authors : Ufuk Özturk
Pages : 229-241
Doi:10.1501/Commua1_0000000792
View : 13 | Download : 6
Publication Date : 2017-02-01
Article Type : Research
Abstract :The problem of constructing a family of parametric surfaces froma given pseudo null curve using the Frenet trihedron frame of the curve in theMinkowski 3-space is studied. The necessary and succient conditions for thegiven pseudo null curve to be a common geodesic of the parametric surface are derived. As a member of the family, considered a ruled surface with a pseudonull directrix, and some corollaries on the ruled surface are given. Also, some examples are given to show the family of surfaces with a common pseudo nullgeodesicKeywords : Pseudo null curve, Geodesic curve, Parametric surface, Minkowski3-space