Title: Lorentzian surfaces and the curvature of the Schmidt metric,
Abstract: The b-boundary is a mathematical tool used to attach a topological boundary
to incomplete Lorentzian manifolds using a Riemaniann metric called the Schmidt
metric on the frame bundle. In this paper, we give the general form of the
Schmidt metric in the case of Lorentzian surfaces. Furthermore, we write the
Ricci scalar of the Schmidt metric in terms of the Ricci scalar of the
Lorentzian manifold and give some examples. Finally, we discuss some
applications to general relativity.