On the regularity of null cones and geodesic spheres

DOI10.1007/s13324-023-00791-0OpenAlexW4323925561MaRDI QIDQ2697621

Manuel Gutiérrez, Benjamin Olea

Publication date: 13 April 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00791-0

zbMATH Keywords

null hypersurfacenull conerigging techniquenull conjugate point

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• On null submanifolds in spacetimes
• Correction to: ``New properties on normalized null hypersurfaces
• New properties on normalized null hypersurfaces
• Compact null hypersurfaces in Lorentzian manifolds
• Codimension two spacelike submanifolds through a null hypersurface in a Lorentzian manifold
• Characterization of null cones under a Ricci curvature condition
• Conformal vector fields and null hypersurfaces
• Contact structures on null hypersurfaces
• Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness
• On the conjugate locus of pseudo-Riemannian manifolds
• Lower bound of null injectivity radius without curvature assumptions in a family of null cones
• Conditions on a null hypersurface of a Lorentzian manifold to be a null cone
• Rigging technique for 1-lightlike submanifolds and preferred rigged connections
• Functions of time type, curvature and causality theory
• A curvature inequality characterizing totally geodesic null hypersurfaces
• Induced Riemannian structures on null hypersurfaces
• A Characterization of Fields in the Calculus of Variations
• The Conjugate Locus of a Riemannian Manifold
• On the crossing of extremals at focal points