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
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Javier Lafuente López and María Esther Fernández Vieito
Departamento de Geometría, UCM. [email protected]
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.
Riemann-Lorentz manifolds with polar end