On Gaussian curvatures and singularities of Gauss maps of cuspidal edges
arXiv:2003.10645
Abstract
We show relation between sign of Gaussian curvature of cuspidal edge and geometric invariants through types of singularities of Gauss map. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants of cuspidal edges, and show relation between sign of cusps and of the Gaussian curvature.
12 pages, 14 figures