The geometry of fronts

Kentaro Saji; Masaaki Umehara; Kotaro Yamada

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The geometry of fronts

Kentaro Saji·Masaaki Umehara·Kotaro Yamada

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Abstract

We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges. Moreover, it is closely related to the behavior of the Gaussian curvature of a surface near cuspidal edges and swallowtails.

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Kentaro Saji, Masaaki Umehara, Kotaro Yamada. 2006-12-09. The geometry of fronts. https://arxiv.org/abs/math/0503236

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