arXiv:2003.10645 Abstract | arXiv Analytics

arXiv:2003.10645 [math.DG]Abstract References Reviews Resources

On Gaussian curvatures and singularities of Gauss maps of cuspidal edges

Published 2020-03-24Version 1

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.

Comments: 12 pages, 14 figures

Categories: math.DG

Subjects: 57R45, 53A05, 53A55

Keywords: cuspidal edge, gauss map, gaussian curvature, singularities

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