INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.14, no.2, 2017 (SCI-Expanded)
the present study, we attend to the canal surfaces with the spine curve. according to the parallel transport frame in Euclidean 4-space E-4. We give an example of these surfaces and obtain some results about curvature conditions in E-4. Moreover, the visualizations of projections of canal surfaces are presented. Lastly, we give the necessary and sufficient conditions for canal surfaces to become weak superconformal.