Prefer a chat interface with context about you and your work?
Pedal foliations and Gauss maps of hypersurfaces in Euclidean space
The singular point of the Gauss map of a hypersurface in Euclidean space is the parabolic point where the Gauss-Kronecker curvature vanishes. It is well-known that the contact of a hypersurface with the tangent hyperplane at a parabolic point is degenerate. The parabolic point has been investigated in the previous …