In this study, we consider canal surfaces according to parallel transport frame in Euclidean space $\mathbb{ E}^{ 4}$. The curvature properties of these surfaces are investigated with respect to $k_{ 1}$, $k_{ 2}$ and $k_{ 3}$ which are principal curvature functions according to parallel transport frame. We also give an example of canal surfaces in $\mathbb{ E}^{ 4}.$ Further, we point out that if spine curve $\gamma $ is a straight line, then $M$ is a Weingarten canal surface and also $M$ is a linear Weingarten tube surface. Finally, the visualization of the projections of canal surfaces in $\mathbb{ E}^{ 3}$ are shown.
Categories: math.DG