Surface pencil with a common adjoint curve

2020 Turkish Journal of Mathematics  
In the present paper, we construct surfaces possessing an adjoint curve of a given space curve as an asymptotic 4 curve, geodesic or line of curvature. We obtain conditions for ruled surfaces and developable ones. Finally, we present 5 illustrative examples to show the validity of the present method. 6
doi:10.3906/mat-1903-41 fatcat:wkgndcohwjaw7nxpjkdcm2sznq