Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone

DOI10.4153/CMB-1989-041-8zbMath0695.53015WikidataQ115214281 ScholiaQ115214281MaRDI QIDQ3471150

Marcos Dajczer, Antonio Carlos Asperti

Publication date: 1989

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

submanifoldsLorentz spaceconformally flatlight cone

Mathematics Subject Classification ID

Related Items (18)

Null hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Surfaces in the lightlike cone ⋮ Rigidity of isometric immersions into the light cone ⋮ Conformally-flat metrics and pseudo-Euclidean geometry ⋮ Normal tractor conformal bundles and codimension two spacelike submanifolds in Lorentzian manifolds ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Codimension two spacelike submanifolds in Lorentzian manifolds and conformal structures ⋮ The duality of conformally flat manifolds ⋮ Hypersurfaces in lightlike cone ⋮ Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space ⋮ New characterizations of compact totally umbilical spacelike surfaces in 4-dimensional Lorentz-Minkowski spacetime through a lightcone ⋮ Slant geometry of spacelike hypersurfaces in the lightcone ⋮ A note on spacelike submanifolds through light cones in Lorentzian space forms ⋮ Codimension two spacelike submanifolds through a null hypersurface in a Lorentzian manifold ⋮ Codimension two spacelike submanifolds of the Lorentz-Minkowski spacetime into the light cone ⋮ Null hypersurfaces and the rigged metric ⋮ Distance geometry for kissing spheres

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