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arXiv · 2312.05931

Normal form of D4-plus singularities of fronts and its applications

Kentaro Saji
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Abstract

We construct a form of the $D_4^+$-singularity of fronts in $R^3$ which uses coordinate transformation on the source and isometry on the target. As an application, we calculate differential geometric invariants near the $D_4^+$-singularity, and give a Gauss-Bonnet type theorem for fronts allowing to have this singularity.

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Kentaro Saji. 2023-12-10. Normal form of D4-plus singularities of fronts and its applications. https://arxiv.org/abs/2312.05931

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