We show a relation between sign of Gaussian curvature of a cuspidal edge and geometric invariants via singularities of Gauss maps. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants, and show a relation between the signs of cusps and the Gaussian curvature.
Cite this article
Keisuke Teramoto, On Gaussian curvatures and singularities of Gauss maps of cuspidal edges. Port. Math. 78 (2021), no. 2, pp. 169–185DOI 10.4171/PM/2065