On null submanifolds in spacetimes

zbMath0625.53019MaRDI QIDQ579633

Demir N. Kupeli

Publication date: 1987

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

second fundamental tensornull congruencesnull line subbundlenull submanifoldsRiemannian vector bundle

Mathematics Subject Classification ID

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

Related Items (24)

Submanifold geometry ⋮ Conformal vector fields and null hypersurfaces ⋮ Some geometric properties of singular pseudo-Riemannian manifolds ⋮ Lightlike Osserman submanifolds of semi-Riemannian manifolds ⋮ On the geometry of null hypersurfaces in Minkowski space ⋮ Non-lorentzian spacetimes ⋮ Surface gravity of compact non-degenerate horizons under the dominant energy condition ⋮ Symmetries of vacuum spacetimes with a compact Cauchy horizon of constant nonzero surface gravity ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ On the regularity of null cones and geodesic spheres ⋮ Hypersurfaces in lightlike cone ⋮ Singular semi-Riemannian geometry ⋮ Smoothness of compact horizons ⋮ Canonical variation of a Lorentzian metric ⋮ Lorentzian causality theory ⋮ On the global ``two-sided characteristic Cauchy problem for linear wave equations on manifolds ⋮ Induced Riemannian structures on null hypersurfaces ⋮ Characterization of null cones under a Ricci curvature condition ⋮ On the singularities of quadratic forms ⋮ Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen ⋮ A note on conformal connections on lightlike hypersurfaces ⋮ Null hypersurfaces and the rigged metric ⋮ Observer-dependent Gauss-Codazzi formalism for null hypersurfaces in the space-time ⋮ Area theorem and smoothness of compact Cauchy horizons

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