On Gaussian curvatures and singularities of Gauss maps of cuspidal edges

Keisuke Teramoto

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arXiv · 2003.10645

On Gaussian curvatures and singularities of Gauss maps of cuspidal edges

Keisuke Teramoto

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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.

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Keisuke Teramoto. 2020-03-24. On Gaussian curvatures and singularities of Gauss maps of cuspidal edges. https://arxiv.org/abs/2003.10645

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