Complex analysis, maximal immersions and metric singularities

DOI10.1007/BF01297766zbMath0866.53011MaRDI QIDQ1924471

Jens Chr. Larsen

Publication date: 20 July 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178738

zbMATH Keywords

geodesicscomplex analysisgeodesic incompletenessmetric singularitieszero mean curvature Lorentzian immersions

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Flat maximal immersions ⋮ Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric ⋮ Timelike surfaces in \(N \times \mathbb{R}\) with a canonical null direction ⋮ Spatial and Lorentzian surfaces in Robertson-Walker space times ⋮ Metric singularities ⋮ Isotropic tangency ⋮ Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms ⋮ Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension

Cites Work

• Singular semi-Riemannian geometry
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Submanifold geometry
• Lorentzian geodesic flows
• RESTRICTIONS ON ZERO MEAN CURVATURE SURFACES IN MINKOWSKI SPACE
• Pseudo-Riemannian Metric Singularities and the Extendability of Parallel Transport
• Geodesics and Jacobi fields in singular semi-riemannian geometry
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