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arXiv · 1806.08140

Singularities of Gauss maps of wave fronts with non-degenerate singular points

Keisuke Teramoto
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Abstract

We study singularities of Gauss maps of fronts and give characterizations of types of singularities of Gauss maps by geometric properties of fronts which are related to behavior of bounded principal curvatures. Moreover, we investigate relation between a kind of boundedness of Gaussian curvatures near cuspidal edges and types of singularities of Gauss maps of cuspidal edges. Further, we consider extended height functions on fronts with non-degenerate singular points.

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Keisuke Teramoto. 2018-06-21. Singularities of Gauss maps of wave fronts with non-degenerate singular points. https://arxiv.org/abs/1806.08140

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