%0 Journal Article
%A Lafuente López, Javier
%A Aguirre Dabán, Eduardo
%T Transverse Riemann-Lorentz type-changing metrics with tangent radical
%D 2006
%@ 0926-2245
%U https://hdl.handle.net/20.500.14352/50110
%X Consider a smooth manifold with a smooth metric which changes bilinear type on a hypersurface Σ and whose radical line field is everywhere tangent to Σ. We describe two natural tensors on Σ and use them to describe “integrability conditions” which are similar to the Gauss–Codazzi conditions. We show that these forms control the smooth extendibility to Σ of ambient curvatures.
%~