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math.DG2020
Fourth Fundamental Form and -th Curvature Formulas in
Erhan Güler
We introduce fourth fundamental form and -th curvature formulas of hypersurfaces in the four dimensional Euclidean geometry . Defining fourth fundamental…
math.DG2012★ 5 cited
The relation between parameter curves and lines of curvature on canal surfaces
Fatih Dogan, Yusuf Yayli
A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we inv…