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arXiv · 1804.06123

Focal surfaces of wave fronts in the Euclidean 3-space

Keisuke Teramoto
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Abstract

We characterize singularities of focal surfaces of wave fronts in terms of differential geometric properties of the initial wave fronts. Moreover, we study relationships between geometric properties of focal surfaces and geometric invariants of the initial wave fronts.

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Keisuke Teramoto. 2018-04-17. Focal surfaces of wave fronts in the Euclidean 3-space. https://doi.org/10.1017/s0017089518000277

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