Focal surfaces of wave fronts in the Euclidean 3-space

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.

arXiv comment12 pages, 2 figures

References in corpus (3)

• Singularities of flat fronts in hyperbolic 3-space
• Parallel and dual surfaces of cuspidal edges
• A_k singularities of wave fronts

Cited by in corpus (1)

• Surfaces of revolution of frontals in the Euclidean space