On surfaces with common pseudo null geodesic in Minkowski 3-space

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 14 | Download : 10

Publication Date : 2017-02-01

Article Type : Research Paper

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 nullgeodesic
Keywords : Pseudo null curve, Geodesic curve, Parametric surface, Minkowski3 space

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