In the present paper,we construct surfaces possessing an adjoint curve of a given space curve as an asymptotic curve, geodesic or line of curvature. We obtain conditions for ruled surfaces and developable ones. Finally, we present illustrative examples to show the validity of the present method.
Surface pencil, asymptotic curve, geodesic, line of curvature, adjoint curve
"Surface pencil with a common adjoint curve,"
Turkish Journal of Mathematics: Vol. 44:
5, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss5/9