Codimension two spacelike submanifolds in Lorentzian manifolds and conformal structures

DOI10.1016/j.jmaa.2024.128170arXiv2107.12652WikidataQ129203789 ScholiaQ129203789MaRDI QIDQ6130371

Rodrigo Morón, Francisco J. Palomo

Publication date: 2 April 2024

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

Full work available at URL: https://arxiv.org/abs/2107.12652

zbMATH Keywords

Lorentzian geometryMöbius structurespacelike submanifoldspre-ambient space

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Standard tractors and the conformal ambient metric construction
• Totally geodesic submanifolds of Riemannian manifolds and curvature-invariant subspaces
• On invariant immersions
• Local obstructions to a conformally invariant equation on Möbius surfaces
• On spacelike surfaces in four-dimensional Lorentz–Minkowski spacetime through a light cone
• The Ambient Metric (AM-178)
• Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone
• Möbius structures and two dimensional EinsteinWeyl geometry
• On the total mean curvature of a compact space-like submanifold in Lorentz–Minkowski spacetime
• Constant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal Symmetries

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