Hokkaido University Preprint Series in Mathematics
Volume:
511
Start Page:
1
End Page:
18
Abstract:
We study cylindrical helices and Bertrand curves as curves on ruled surfaces. Some results in this paper clarify that the cylindrical helix is related to the Gaussian curvature and the Bertrand curve is related to the mean curvature of the ruled surface. We also study the singularities of the principal normal surfaces of generic curves.
