Extendibility of geodesics on transverse Riemann-Lorentz manifolds with polar end
Javier Lafuente López and María Esther Fernández Vieito
Departamento de Geometría, UCM. [email protected]
Abstract
We study the extendibility of geodesics on a transverse Riemann-Lorentz typechanging manifold with polar end, a manifold endowed with a certain metric
that fails to be defined at the hypersurface on signature change. We prove the existence and uniqueness of pregeodesics going across the hypersurface at
each point in a single direction, called polar normal direction.
Introduction
Pregeodesics
Riemann-Lorentz manifolds with polar end
Light cones
References