Abstract
The paper deals with the study of flat fronts in the hyperbolic 3-space, \(\mathbb {H}^3\). We characterize when an analytic curve of \(\mathbb {H}^3\) is in the singular set of some flat front with prescribed cuspidal edges and swallowtail singularities. We also prove that every complete flat front with a non-degenerate analytic planar singular set must be rotational.
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