Construction of surface pencil with a given spacelike adjoint curve
F. Güler
The adjoint curve of any Frenet curve r=r(s) is defined as the integral of
binormal vector with any parameter s, of a curve r. In this paper,we
analyzed the problem of finding a surfaces pencil through a given the
spacelike adjoint curve as an asymptotic curve, geodesic or a line of
curvature in Minkowski 3-space, respectively. We find necessary and
sufficient condition for a surface pencil possessing the spacelike adjoint
curve as an asymptotic curve, geodesic or line of curvature. We illustrate
this method by presenting some examples.
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