On surfaces with common pseudo null geodesic in Minkowski 3-space
Author(s) -
Ufuk Öztürk
Publication year - 2017
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000792
Subject(s) - frenet–serret formulas , minkowski space
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
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