Extendibility of geodesics on transverse riemann lorentz manifolds with polar end
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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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Extendibility of geodesics on transverse riemann lorentz manifolds with polar end
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


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