Flat fronts in hyperbolic 3-space with prescribed singularities (Q465476)

The authors consider flat surfaces (fronts) immersed in the 3-dimensional hyperbolic space \({\mathbb H}^3\). They characterize singular curves of such fronts with prescribed cuspidal edges and swallowtails. They classify complete flat fronts satisfying some particular conditions and show that, locally, there exists a correspondence between flat fronts and improper affine maps.