Hypersurface families with common non-null geodesic in Minkowski 4-space
C. Turan, M. Altin, H. B. Karadağ
In this study, we create hypersurface families
from each non-null isogeodesic, with non-null Frenet vectors, given in the Minkowski 4-space. We obtain
parametric representations for hypersurface families whose members have the
same curves as the given isogeodesic curves. By using the Frenet frame of each
given geodesic curve, we create the hypersurfaces as a linear combination of
this Frenet frame and obtain the necessary and sufficient conditions for these
curves to be isogeodesic. Also, we give some examples so that the method
presented is clear and understandable. In addition, the graphs of the surfaces
formed by projecting the surfaces given with parametric equations to
3-dimensional space are drawn.
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