Null hypersurfaces in 4-manifolds endowed with a product structure

DOI10.1017/s0017089523000319arXiv2212.10679OpenAlexW4387120422MaRDI QIDQ6200229

Nikos Georgiou

Publication date: 29 February 2024

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.10679

zbMATH Keywords

null hypersurfacesneutral metricsalmost paracomplex structuresproduct of 2-manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• On the geometry of spaces of oriented geodesics
• On hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\)
• The ultrahyperbolic differential equation with four independent variables
• The causal topology of neutral 4-manifolds with null boundary
• Almost paracomplex structures on 4-manifolds
• Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces
• An Indefinite Kähler Metric on the Space of Oriented Lines
• ON THE GEOMETRY OF THE SPACE OF ORIENTED LINES OF THE HYPERBOLIC SPACE
• From CT scans to 4-manifold topology via neutral geometry

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