The Gauss-Bonnet type theorem for future directed fronts in hyperbolic 3-space and de Sitter 3-space

We give a Gauss-Bonnet type theorem for future directed fronts in hyperbolic 3-space and de Sitter 3-space. This theorem relates the lightlike geometry to the topology of these singular objects.

Automated summary

This theorem explores the relationship between the lightlike geometry and the topology of future directed fronts in hyperbolic 3-space and de Sitter 3-space.