Incompleteness of timelike submanifolds with nonvanishing second fundamental form

DOI10.1007/BF00760248zbMath0566.53057MaRDI QIDQ1059294

John K. Beem, Paul E. Ehrlich

Publication date: 1985

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

energy conditionscausally disconnectedgeodesically incompletetimelike hypersurface

Mathematics Subject Classification ID

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

Related Items (4)

CR-structures and Lorentzian geometry ⋮ Screen transversal lightlike submanifolds of indefinite Kaehler manifolds ⋮ On Geodesic Completeness of Nondegenerate Submanifolds in Semi-Euclidean Spaces ⋮ A SURVEY ON GEODESIC COMPLETENESS OF NONDEGENERATE SUBMANIFOLDS IN SEMI-RIEMANNIAN GEOMETRY

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• Hypersurfaces of a space of constant curvature
• Closed and complete spacelike hypersurfaces in Minkowski space
• Singularities, incompleteness and the Lorentzian distance function
• The singularities of gravitational collapse and cosmology
• On the global isometric embedding of pseudo-Riemannian manifolds
• Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.
• The Large Scale Structure of Space-Time

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