On closed geodesics in Lorentz manifolds

Abstract

We construct compact Lorentz manifolds without closed geodesics.

arXiv commentMinor edits. To appear in GAFA

References in corpus (5)

• Open problems and questions about geodesics
• Closed Geodesics in Lorentzian Surfaces
• Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
• Connecting and closed geodesics of a Kropina metric
• Isometry Lie algebras of indefinite homogeneous spaces of finite volume