On the existence and stability of two-dimensional Lorentzian tori without conjugate points

DOI10.1007/s10711-023-00824-9arXiv1902.04505OpenAlexW2911515771MaRDI QIDQ6174794

Lilia Mehidi

Publication date: 17 August 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04505

zbMATH Keywords

conjugate pointsKilling vector fieldsLorentzian surfaces

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Riemannian tori without conjugate points are flat
• On Lorentzian compact surfaces without conjugate points
• Maximal extensions and classification of Lorentzian tori with a Killing field
• Upper and lower bounds on eigenvalues of Sturm-Liouville systems
• Structure of Lorentzian tori with a killing vector field
• On The Zeros Of Solutions Of Second-Order Linear Differential Equations
• Lorentzian manifolds with no null conjugate points
• Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
• Closed Surfaces Without Conjugate Points
• Projective properties of Lorentzian surfaces

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