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Title: Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line

We give local, explicit representation formulas for n-dimensional spacelike submanifolds which are marginally trapped in the Minkowski space ℝ{sub 1}{sup n+2}, the de Sitter space dS{sup n+2}, the anti-de Sitter space AdS{sup n+2} and the Lorentzian products S{sup n+1} × ℝ and ℍ{sup n+1} × ℝ of the sphere and the hyperbolic space by the real line.
Authors:
 [1] ;  [2]
  1. Université Libre de Bruxelles, CP 216, local O.7.110, Bd du Triomphe, 1050 Brussels (Belgium)
  2. FaMAF-CIEM, Ciudad Universitaria, 5000 Córdoba (Argentina)
Publication Date:
OSTI Identifier:
22403112
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANTI DE SITTER SPACE; DE SITTER SPACE; MINKOWSKI SPACE; SPHERES; TRAPPING